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Finding the Fourth Proportional to 585.10, 876.84 and 440.66

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Solution

The fourth proportional to 585.10, 876.84 and 440.66 is: 660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.10 : 876.84 = 440.66 : x
  2. Step 2: Convert to fraction form
    585.10/876.84 = 440.66/x
  3. Step 3: Cross multiply
    585.10x = 876.84 × 440.66
  4. Step 4: Simplify right side
    585.10x = 386,388.31
  5. Step 5: Solve for x
    x = 386,388.31/585.10
  6. Step 6: Final answer
    x = 660.38

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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.