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Finding the Fourth Proportional to 474.50, 657.35 and 463.16

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Solution

The fourth proportional to 474.50, 657.35 and 463.16 is: 641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 657.35 = 463.16 : x
  2. Step 2: Convert to fraction form
    474.50/657.35 = 463.16/x
  3. Step 3: Cross multiply
    474.50x = 657.35 × 463.16
  4. Step 4: Simplify right side
    474.50x = 304,452.62
  5. Step 5: Solve for x
    x = 304,452.62/474.50
  6. Step 6: Final answer
    x = 641.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.