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Finding the Fourth Proportional to 473.47, 652.82 and 296.37

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Solution

The fourth proportional to 473.47, 652.82 and 296.37 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.47 : 652.82 = 296.37 : x
  2. Step 2: Convert to fraction form
    473.47/652.82 = 296.37/x
  3. Step 3: Cross multiply
    473.47x = 652.82 × 296.37
  4. Step 4: Simplify right side
    473.47x = 193,474.78
  5. Step 5: Solve for x
    x = 193,474.78/473.47
  6. Step 6: Final answer
    x = 408.63

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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.