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Finding the Fourth Proportional to 476.31, 713.07 and 355.08

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Solution

The fourth proportional to 476.31, 713.07 and 355.08 is: 531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.31 : 713.07 = 355.08 : x
  2. Step 2: Convert to fraction form
    476.31/713.07 = 355.08/x
  3. Step 3: Cross multiply
    476.31x = 713.07 × 355.08
  4. Step 4: Simplify right side
    476.31x = 253,196.90
  5. Step 5: Solve for x
    x = 253,196.90/476.31
  6. Step 6: Final answer
    x = 531.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.