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Finding the Fourth Proportional to 552.34, 761.82 and 512.92

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Solution

The fourth proportional to 552.34, 761.82 and 512.92 is: 707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.34 : 761.82 = 512.92 : x
  2. Step 2: Convert to fraction form
    552.34/761.82 = 512.92/x
  3. Step 3: Cross multiply
    552.34x = 761.82 × 512.92
  4. Step 4: Simplify right side
    552.34x = 390,752.71
  5. Step 5: Solve for x
    x = 390,752.71/552.34
  6. Step 6: Final answer
    x = 707.45

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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.