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Finding the Fourth Proportional to 585.54, 877.68 and 412.20

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Solution

The fourth proportional to 585.54, 877.68 and 412.20 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.54 : 877.68 = 412.20 : x
  2. Step 2: Convert to fraction form
    585.54/877.68 = 412.20/x
  3. Step 3: Cross multiply
    585.54x = 877.68 × 412.20
  4. Step 4: Simplify right side
    585.54x = 361,779.70
  5. Step 5: Solve for x
    x = 361,779.70/585.54
  6. Step 6: Final answer
    x = 617.86

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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.