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Finding the Fourth Proportional to 658.50, 909.11 and 503.54

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Solution

The fourth proportional to 658.50, 909.11 and 503.54 is: 695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.50 : 909.11 = 503.54 : x
  2. Step 2: Convert to fraction form
    658.50/909.11 = 503.54/x
  3. Step 3: Cross multiply
    658.50x = 909.11 × 503.54
  4. Step 4: Simplify right side
    658.50x = 457,773.25
  5. Step 5: Solve for x
    x = 457,773.25/658.50
  6. Step 6: Final answer
    x = 695.18

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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.