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Finding the Fourth Proportional to 508.78, 697.56 and 502.55

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Solution

The fourth proportional to 508.78, 697.56 and 502.55 is: 689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 697.56 = 502.55 : x
  2. Step 2: Convert to fraction form
    508.78/697.56 = 502.55/x
  3. Step 3: Cross multiply
    508.78x = 697.56 × 502.55
  4. Step 4: Simplify right side
    508.78x = 350,558.78
  5. Step 5: Solve for x
    x = 350,558.78/508.78
  6. Step 6: Final answer
    x = 689.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.