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Finding the Fourth Proportional to 457.70, 687.14 and 393.12

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Solution

The fourth proportional to 457.70, 687.14 and 393.12 is: 590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.70 : 687.14 = 393.12 : x
  2. Step 2: Convert to fraction form
    457.70/687.14 = 393.12/x
  3. Step 3: Cross multiply
    457.70x = 687.14 × 393.12
  4. Step 4: Simplify right side
    457.70x = 270,128.48
  5. Step 5: Solve for x
    x = 270,128.48/457.70
  6. Step 6: Final answer
    x = 590.19

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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.