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Finding the Fourth Proportional to 568.54, 784.64 and 524.43

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Solution

The fourth proportional to 568.54, 784.64 and 524.43 is: 723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.54 : 784.64 = 524.43 : x
  2. Step 2: Convert to fraction form
    568.54/784.64 = 524.43/x
  3. Step 3: Cross multiply
    568.54x = 784.64 × 524.43
  4. Step 4: Simplify right side
    568.54x = 411,488.76
  5. Step 5: Solve for x
    x = 411,488.76/568.54
  6. Step 6: Final answer
    x = 723.76

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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.