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Finding the Fourth Proportional to 472.13, 709.80 and 433.71

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Solution

The fourth proportional to 472.13, 709.80 and 433.71 is: 652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.13 : 709.80 = 433.71 : x
  2. Step 2: Convert to fraction form
    472.13/709.80 = 433.71/x
  3. Step 3: Cross multiply
    472.13x = 709.80 × 433.71
  4. Step 4: Simplify right side
    472.13x = 307,847.36
  5. Step 5: Solve for x
    x = 307,847.36/472.13
  6. Step 6: Final answer
    x = 652.05

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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.