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Finding the Fourth Proportional to 669.18, 924.28 and 473.56

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Solution

The fourth proportional to 669.18, 924.28 and 473.56 is: 654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.18 : 924.28 = 473.56 : x
  2. Step 2: Convert to fraction form
    669.18/924.28 = 473.56/x
  3. Step 3: Cross multiply
    669.18x = 924.28 × 473.56
  4. Step 4: Simplify right side
    669.18x = 437,702.04
  5. Step 5: Solve for x
    x = 437,702.04/669.18
  6. Step 6: Final answer
    x = 654.09

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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.