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Finding the Fourth Proportional to 472.36, 707.61 and 309.55

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Solution

The fourth proportional to 472.36, 707.61 and 309.55 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 707.61 = 309.55 : x
  2. Step 2: Convert to fraction form
    472.36/707.61 = 309.55/x
  3. Step 3: Cross multiply
    472.36x = 707.61 × 309.55
  4. Step 4: Simplify right side
    472.36x = 219,037.14
  5. Step 5: Solve for x
    x = 219,037.14/472.36
  6. Step 6: Final answer
    x = 463.71

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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.