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Finding the Fourth Proportional to 584.32, 876.48 and 448.24

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Solution

The fourth proportional to 584.32, 876.48 and 448.24 is: 672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.32 : 876.48 = 448.24 : x
  2. Step 2: Convert to fraction form
    584.32/876.48 = 448.24/x
  3. Step 3: Cross multiply
    584.32x = 876.48 × 448.24
  4. Step 4: Simplify right side
    584.32x = 392,873.40
  5. Step 5: Solve for x
    x = 392,873.40/584.32
  6. Step 6: Final answer
    x = 672.36

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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.