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Finding the Fourth Proportional to 473.85, 654.08 and 417.96

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Solution

The fourth proportional to 473.85, 654.08 and 417.96 is: 576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 654.08 = 417.96 : x
  2. Step 2: Convert to fraction form
    473.85/654.08 = 417.96/x
  3. Step 3: Cross multiply
    473.85x = 654.08 × 417.96
  4. Step 4: Simplify right side
    473.85x = 273,377.19
  5. Step 5: Solve for x
    x = 273,377.19/473.85
  6. Step 6: Final answer
    x = 576.93

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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.