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Finding the Fourth Proportional to 473.12, 652.24 and 410.84

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Solution

The fourth proportional to 473.12, 652.24 and 410.84 is: 566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 652.24 = 410.84 : x
  2. Step 2: Convert to fraction form
    473.12/652.24 = 410.84/x
  3. Step 3: Cross multiply
    473.12x = 652.24 × 410.84
  4. Step 4: Simplify right side
    473.12x = 267,966.28
  5. Step 5: Solve for x
    x = 267,966.28/473.12
  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.