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Finding the Fourth Proportional to 568.52, 784.16 and 347.18

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Solution

The fourth proportional to 568.52, 784.16 and 347.18 is: 478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 784.16 = 347.18 : x
  2. Step 2: Convert to fraction form
    568.52/784.16 = 347.18/x
  3. Step 3: Cross multiply
    568.52x = 784.16 × 347.18
  4. Step 4: Simplify right side
    568.52x = 272,244.67
  5. Step 5: Solve for x
    x = 272,244.67/568.52
  6. Step 6: Final answer
    x = 478.87

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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.