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Finding the Fourth Proportional to 472.78, 652.69 and 307.09

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Solution

The fourth proportional to 472.78, 652.69 and 307.09 is: 423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 652.69 = 307.09 : x
  2. Step 2: Convert to fraction form
    472.78/652.69 = 307.09/x
  3. Step 3: Cross multiply
    472.78x = 652.69 × 307.09
  4. Step 4: Simplify right side
    472.78x = 200,434.57
  5. Step 5: Solve for x
    x = 200,434.57/472.78
  6. Step 6: Final answer
    x = 423.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.