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Finding the Fourth Proportional to 508.70, 702.05 and 362

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Solution

The fourth proportional to 508.70, 702.05 and 362 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.70 : 702.05 = 362 : x
  2. Step 2: Convert to fraction form
    508.70/702.05 = 362/x
  3. Step 3: Cross multiply
    508.70x = 702.05 × 362
  4. Step 4: Simplify right side
    508.70x = 254,142.10
  5. Step 5: Solve for x
    x = 254,142.10/508.70
  6. Step 6: Final answer
    x = 499.59

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