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Finding the Fourth Proportional to 552.84, 763.29 and 428.28

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Solution

The fourth proportional to 552.84, 763.29 and 428.28 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.84 : 763.29 = 428.28 : x
  2. Step 2: Convert to fraction form
    552.84/763.29 = 428.28/x
  3. Step 3: Cross multiply
    552.84x = 763.29 × 428.28
  4. Step 4: Simplify right side
    552.84x = 326,901.84
  5. Step 5: Solve for x
    x = 326,901.84/552.84
  6. Step 6: Final answer
    x = 591.31

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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.