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Finding the Fourth Proportional to 473.88, 652.29 and 411.47

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Solution

The fourth proportional to 473.88, 652.29 and 411.47 is: 566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.88 : 652.29 = 411.47 : x
  2. Step 2: Convert to fraction form
    473.88/652.29 = 411.47/x
  3. Step 3: Cross multiply
    473.88x = 652.29 × 411.47
  4. Step 4: Simplify right side
    473.88x = 268,394.50
  5. Step 5: Solve for x
    x = 268,394.50/473.88
  6. Step 6: Final answer
    x = 566.38

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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.