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Finding the Fourth Proportional to 584.23, 875.37 and 410.59

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Solution

The fourth proportional to 584.23, 875.37 and 410.59 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.23 : 875.37 = 410.59 : x
  2. Step 2: Convert to fraction form
    584.23/875.37 = 410.59/x
  3. Step 3: Cross multiply
    584.23x = 875.37 × 410.59
  4. Step 4: Simplify right side
    584.23x = 359,414.52
  5. Step 5: Solve for x
    x = 359,414.52/584.23
  6. Step 6: Final answer
    x = 615.19

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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.