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Finding the Fourth Proportional to 568.49, 784.89 and 429.17

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Solution

The fourth proportional to 568.49, 784.89 and 429.17 is: 592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.49 : 784.89 = 429.17 : x
  2. Step 2: Convert to fraction form
    568.49/784.89 = 429.17/x
  3. Step 3: Cross multiply
    568.49x = 784.89 × 429.17
  4. Step 4: Simplify right side
    568.49x = 336,847.32
  5. Step 5: Solve for x
    x = 336,847.32/568.49
  6. Step 6: Final answer
    x = 592.54

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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.