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Finding the Fourth Proportional to 585.32, 876.48 and 454.88

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Solution

The fourth proportional to 585.32, 876.48 and 454.88 is: 681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.32 : 876.48 = 454.88 : x
  2. Step 2: Convert to fraction form
    585.32/876.48 = 454.88/x
  3. Step 3: Cross multiply
    585.32x = 876.48 × 454.88
  4. Step 4: Simplify right side
    585.32x = 398,693.22
  5. Step 5: Solve for x
    x = 398,693.22/585.32
  6. Step 6: Final answer
    x = 681.15

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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.