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Finding the Fourth Proportional to 697.02, 959.31 and 500.10

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Solution

The fourth proportional to 697.02, 959.31 and 500.10 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.02 : 959.31 = 500.10 : x
  2. Step 2: Convert to fraction form
    697.02/959.31 = 500.10/x
  3. Step 3: Cross multiply
    697.02x = 959.31 × 500.10
  4. Step 4: Simplify right side
    697.02x = 479,750.93
  5. Step 5: Solve for x
    x = 479,750.93/697.02
  6. Step 6: Final answer
    x = 688.29

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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.