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Finding the Fourth Proportional to 477.42, 659.04 and 337.65

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Solution

The fourth proportional to 477.42, 659.04 and 337.65 is: 466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.42 : 659.04 = 337.65 : x
  2. Step 2: Convert to fraction form
    477.42/659.04 = 337.65/x
  3. Step 3: Cross multiply
    477.42x = 659.04 × 337.65
  4. Step 4: Simplify right side
    477.42x = 222,524.86
  5. Step 5: Solve for x
    x = 222,524.86/477.42
  6. Step 6: Final answer
    x = 466.10

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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.