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Finding the Fourth Proportional to 728.31, 1,005.27 and 433.77

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Solution

The fourth proportional to 728.31, 1,005.27 and 433.77 is: 598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.31 : 1,005.27 = 433.77 : x
  2. Step 2: Convert to fraction form
    728.31/1,005.27 = 433.77/x
  3. Step 3: Cross multiply
    728.31x = 1,005.27 × 433.77
  4. Step 4: Simplify right side
    728.31x = 436,055.97
  5. Step 5: Solve for x
    x = 436,055.97/728.31
  6. Step 6: Final answer
    x = 598.72

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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.