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Finding the Fourth Proportional to 590.47, 886.17 and 409.14

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Solution

The fourth proportional to 590.47, 886.17 and 409.14 is: 614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.47 : 886.17 = 409.14 : x
  2. Step 2: Convert to fraction form
    590.47/886.17 = 409.14/x
  3. Step 3: Cross multiply
    590.47x = 886.17 × 409.14
  4. Step 4: Simplify right side
    590.47x = 362,567.59
  5. Step 5: Solve for x
    x = 362,567.59/590.47
  6. Step 6: Final answer
    x = 614.03

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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.