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Finding the Fourth Proportional to 725.01, 1,000.38 and 430.30

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Solution

The fourth proportional to 725.01, 1,000.38 and 430.30 is: 593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.01 : 1,000.38 = 430.30 : x
  2. Step 2: Convert to fraction form
    725.01/1,000.38 = 430.30/x
  3. Step 3: Cross multiply
    725.01x = 1,000.38 × 430.30
  4. Step 4: Simplify right side
    725.01x = 430,463.51
  5. Step 5: Solve for x
    x = 430,463.51/725.01
  6. Step 6: Final answer
    x = 593.73

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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.