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Finding the Fourth Proportional to 477.62, 659.09 and 278.42

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Solution

The fourth proportional to 477.62, 659.09 and 278.42 is: 384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.62 : 659.09 = 278.42 : x
  2. Step 2: Convert to fraction form
    477.62/659.09 = 278.42/x
  3. Step 3: Cross multiply
    477.62x = 659.09 × 278.42
  4. Step 4: Simplify right side
    477.62x = 183,499.15
  5. Step 5: Solve for x
    x = 183,499.15/477.62
  6. Step 6: Final answer
    x = 384.20

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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.