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Finding the Fourth Proportional to 600.75, 828.88 and 414.58

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Solution

The fourth proportional to 600.75, 828.88 and 414.58 is: 572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 828.88 = 414.58 : x
  2. Step 2: Convert to fraction form
    600.75/828.88 = 414.58/x
  3. Step 3: Cross multiply
    600.75x = 828.88 × 414.58
  4. Step 4: Simplify right side
    600.75x = 343,637.07
  5. Step 5: Solve for x
    x = 343,637.07/600.75
  6. Step 6: Final answer
    x = 572.01

Related Problems

Find fourth proportional to 300.38, 414.44 and 207.29
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.