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Finding the Fourth Proportional to 600.75, 829.06 and 352.17

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Solution

The fourth proportional to 600.75, 829.06 and 352.17 is: 486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 829.06 = 352.17 : x
  2. Step 2: Convert to fraction form
    600.75/829.06 = 352.17/x
  3. Step 3: Cross multiply
    600.75x = 829.06 × 352.17
  4. Step 4: Simplify right side
    600.75x = 291,969.18
  5. Step 5: Solve for x
    x = 291,969.18/600.75
  6. Step 6: Final answer
    x = 486.01

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Find fourth proportional to 300.38, 414.53 and 176.09
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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.