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Finding the Fourth Proportional to 659.28, 909.36 and 560.64

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Solution

The fourth proportional to 659.28, 909.36 and 560.64 is: 773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.28 : 909.36 = 560.64 : x
  2. Step 2: Convert to fraction form
    659.28/909.36 = 560.64/x
  3. Step 3: Cross multiply
    659.28x = 909.36 × 560.64
  4. Step 4: Simplify right side
    659.28x = 509,823.59
  5. Step 5: Solve for x
    x = 509,823.59/659.28
  6. Step 6: Final answer
    x = 773.30

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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.