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Finding the Fourth Proportional to 552.44, 761.52 and 469.28

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Solution

The fourth proportional to 552.44, 761.52 and 469.28 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.44 : 761.52 = 469.28 : x
  2. Step 2: Convert to fraction form
    552.44/761.52 = 469.28/x
  3. Step 3: Cross multiply
    552.44x = 761.52 × 469.28
  4. Step 4: Simplify right side
    552.44x = 357,366.11
  5. Step 5: Solve for x
    x = 357,366.11/552.44
  6. Step 6: Final answer
    x = 646.89

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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.