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Finding the Fourth Proportional to 728.40, 1,005.24 and 433.68

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Solution

The fourth proportional to 728.40, 1,005.24 and 433.68 is: 598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.40 : 1,005.24 = 433.68 : x
  2. Step 2: Convert to fraction form
    728.40/1,005.24 = 433.68/x
  3. Step 3: Cross multiply
    728.40x = 1,005.24 × 433.68
  4. Step 4: Simplify right side
    728.40x = 435,952.48
  5. Step 5: Solve for x
    x = 435,952.48/728.40
  6. Step 6: Final answer
    x = 598.51

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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.