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Finding the Fourth Proportional to 509.56, 702.88 and 385.70

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Solution

The fourth proportional to 509.56, 702.88 and 385.70 is: 532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 702.88 = 385.70 : x
  2. Step 2: Convert to fraction form
    509.56/702.88 = 385.70/x
  3. Step 3: Cross multiply
    509.56x = 702.88 × 385.70
  4. Step 4: Simplify right side
    509.56x = 271,096.34
  5. Step 5: Solve for x
    x = 271,096.34/509.56
  6. Step 6: Final answer
    x = 532.02

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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.