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Finding the Fourth Proportional to 568.68, 784.08 and 458.16

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Solution

The fourth proportional to 568.68, 784.08 and 458.16 is: 631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.68 : 784.08 = 458.16 : x
  2. Step 2: Convert to fraction form
    568.68/784.08 = 458.16/x
  3. Step 3: Cross multiply
    568.68x = 784.08 × 458.16
  4. Step 4: Simplify right side
    568.68x = 359,234.09
  5. Step 5: Solve for x
    x = 359,234.09/568.68
  6. Step 6: Final answer
    x = 631.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.