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Finding the Fourth Proportional to 472.16, 709.05 and 307.91

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Solution

The fourth proportional to 472.16, 709.05 and 307.91 is: 462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 709.05 = 307.91 : x
  2. Step 2: Convert to fraction form
    472.16/709.05 = 307.91/x
  3. Step 3: Cross multiply
    472.16x = 709.05 × 307.91
  4. Step 4: Simplify right side
    472.16x = 218,323.59
  5. Step 5: Solve for x
    x = 218,323.59/472.16
  6. Step 6: Final answer
    x = 462.39

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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.