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Finding the Fourth Proportional to 472.46, 709.01 and 289.29

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Solution

The fourth proportional to 472.46, 709.01 and 289.29 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.46 : 709.01 = 289.29 : x
  2. Step 2: Convert to fraction form
    472.46/709.01 = 289.29/x
  3. Step 3: Cross multiply
    472.46x = 709.01 × 289.29
  4. Step 4: Simplify right side
    472.46x = 205,108.06
  5. Step 5: Solve for x
    x = 205,108.06/472.46
  6. Step 6: Final answer
    x = 434.13

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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.