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Finding the Fourth Proportional to 728.32, 1,005.08 and 417.82

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Solution

The fourth proportional to 728.32, 1,005.08 and 417.82 is: 576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.32 : 1,005.08 = 417.82 : x
  2. Step 2: Convert to fraction form
    728.32/1,005.08 = 417.82/x
  3. Step 3: Cross multiply
    728.32x = 1,005.08 × 417.82
  4. Step 4: Simplify right side
    728.32x = 419,935.41
  5. Step 5: Solve for x
    x = 419,935.41/728.32
  6. Step 6: Final answer
    x = 576.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.