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Finding the Fourth Proportional to 600.33, 829.10 and 414.30

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Solution

The fourth proportional to 600.33, 829.10 and 414.30 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.33 : 829.10 = 414.30 : x
  2. Step 2: Convert to fraction form
    600.33/829.10 = 414.30/x
  3. Step 3: Cross multiply
    600.33x = 829.10 × 414.30
  4. Step 4: Simplify right side
    600.33x = 343,494.06
  5. Step 5: Solve for x
    x = 343,494.06/600.33
  6. Step 6: Final answer
    x = 572.18

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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.