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Finding the Fourth Proportional to 473.25, 652.97 and 296.30

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Solution

The fourth proportional to 473.25, 652.97 and 296.30 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 652.97 = 296.30 : x
  2. Step 2: Convert to fraction form
    473.25/652.97 = 296.30/x
  3. Step 3: Cross multiply
    473.25x = 652.97 × 296.30
  4. Step 4: Simplify right side
    473.25x = 193,473.40
  5. Step 5: Solve for x
    x = 193,473.40/473.25
  6. Step 6: Final answer
    x = 408.82

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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.