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Finding the Fourth Proportional to 473.22, 651.78 and 411.12

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Solution

The fourth proportional to 473.22, 651.78 and 411.12 is: 566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.22 : 651.78 = 411.12 : x
  2. Step 2: Convert to fraction form
    473.22/651.78 = 411.12/x
  3. Step 3: Cross multiply
    473.22x = 651.78 × 411.12
  4. Step 4: Simplify right side
    473.22x = 267,959.79
  5. Step 5: Solve for x
    x = 267,959.79/473.22
  6. Step 6: Final answer
    x = 566.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.