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Finding the Fourth Proportional to 571.70, 858.18 and 457.52

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Solution

The fourth proportional to 571.70, 858.18 and 457.52 is: 686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.70 : 858.18 = 457.52 : x
  2. Step 2: Convert to fraction form
    571.70/858.18 = 457.52/x
  3. Step 3: Cross multiply
    571.70x = 858.18 × 457.52
  4. Step 4: Simplify right side
    571.70x = 392,634.51
  5. Step 5: Solve for x
    x = 392,634.51/571.70
  6. Step 6: Final answer
    x = 686.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.