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Finding the Fourth Proportional to 473.22, 652.65 and 296.17

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Solution

The fourth proportional to 473.22, 652.65 and 296.17 is: 408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.22 : 652.65 = 296.17 : x
  2. Step 2: Convert to fraction form
    473.22/652.65 = 296.17/x
  3. Step 3: Cross multiply
    473.22x = 652.65 × 296.17
  4. Step 4: Simplify right side
    473.22x = 193,295.35
  5. Step 5: Solve for x
    x = 193,295.35/473.22
  6. Step 6: Final answer
    x = 408.47

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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.