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Finding the Fourth Proportional to 574.52, 856.01 and 568.76

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Solution

The fourth proportional to 574.52, 856.01 and 568.76 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.52 : 856.01 = 568.76 : x
  2. Step 2: Convert to fraction form
    574.52/856.01 = 568.76/x
  3. Step 3: Cross multiply
    574.52x = 856.01 × 568.76
  4. Step 4: Simplify right side
    574.52x = 486,863.71
  5. Step 5: Solve for x
    x = 486,863.71/574.52
  6. Step 6: Final answer
    x = 847.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.