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Finding the Fourth Proportional to 552.69, 763.02 and 384.89

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Solution

The fourth proportional to 552.69, 763.02 and 384.89 is: 531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.69 : 763.02 = 384.89 : x
  2. Step 2: Convert to fraction form
    552.69/763.02 = 384.89/x
  3. Step 3: Cross multiply
    552.69x = 763.02 × 384.89
  4. Step 4: Simplify right side
    552.69x = 293,674.95
  5. Step 5: Solve for x
    x = 293,674.95/552.69
  6. Step 6: Final answer
    x = 531.36

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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.