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Finding the Fourth Proportional to 508.59, 702.12 and 331.81

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Solution

The fourth proportional to 508.59, 702.12 and 331.81 is: 458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.59 : 702.12 = 331.81 : x
  2. Step 2: Convert to fraction form
    508.59/702.12 = 331.81/x
  3. Step 3: Cross multiply
    508.59x = 702.12 × 331.81
  4. Step 4: Simplify right side
    508.59x = 232,969.05
  5. Step 5: Solve for x
    x = 232,969.05/508.59
  6. Step 6: Final answer
    x = 458.07

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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.