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Finding the Fourth Proportional to 475.71, 656.25 and 298.89

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Solution

The fourth proportional to 475.71, 656.25 and 298.89 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.71 : 656.25 = 298.89 : x
  2. Step 2: Convert to fraction form
    475.71/656.25 = 298.89/x
  3. Step 3: Cross multiply
    475.71x = 656.25 × 298.89
  4. Step 4: Simplify right side
    475.71x = 196,147.12
  5. Step 5: Solve for x
    x = 196,147.12/475.71
  6. Step 6: Final answer
    x = 412.32

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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.