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Finding the Fourth Proportional to 590.47, 815.14 and 457.40

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Solution

The fourth proportional to 590.47, 815.14 and 457.40 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.47 : 815.14 = 457.40 : x
  2. Step 2: Convert to fraction form
    590.47/815.14 = 457.40/x
  3. Step 3: Cross multiply
    590.47x = 815.14 × 457.40
  4. Step 4: Simplify right side
    590.47x = 372,841.53
  5. Step 5: Solve for x
    x = 372,841.53/590.47
  6. Step 6: Final answer
    x = 631.43

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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.