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Finding the Fourth Proportional to 586.28, 879.42 and 278.04

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Solution

The fourth proportional to 586.28, 879.42 and 278.04 is: 417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.28 : 879.42 = 278.04 : x
  2. Step 2: Convert to fraction form
    586.28/879.42 = 278.04/x
  3. Step 3: Cross multiply
    586.28x = 879.42 × 278.04
  4. Step 4: Simplify right side
    586.28x = 244,513.94
  5. Step 5: Solve for x
    x = 244,513.94/586.28
  6. Step 6: Final answer
    x = 417.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.