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Finding the Fourth Proportional to 658.53, 909.09 and 437.67

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Solution

The fourth proportional to 658.53, 909.09 and 437.67 is: 604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 909.09 = 437.67 : x
  2. Step 2: Convert to fraction form
    658.53/909.09 = 437.67/x
  3. Step 3: Cross multiply
    658.53x = 909.09 × 437.67
  4. Step 4: Simplify right side
    658.53x = 397,881.42
  5. Step 5: Solve for x
    x = 397,881.42/658.53
  6. Step 6: Final answer
    x = 604.20

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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.