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Finding the Fourth Proportional to 430.97, 645.90 and 225.02

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Solution

The fourth proportional to 430.97, 645.90 and 225.02 is: 337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.97 : 645.90 = 225.02 : x
  2. Step 2: Convert to fraction form
    430.97/645.90 = 225.02/x
  3. Step 3: Cross multiply
    430.97x = 645.90 × 225.02
  4. Step 4: Simplify right side
    430.97x = 145,340.42
  5. Step 5: Solve for x
    x = 145,340.42/430.97
  6. Step 6: Final answer
    x = 337.24

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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.