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Finding the Fourth Proportional to 586.64, 879.66 and 278.24

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Solution

The fourth proportional to 586.64, 879.66 and 278.24 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.64 : 879.66 = 278.24 : x
  2. Step 2: Convert to fraction form
    586.64/879.66 = 278.24/x
  3. Step 3: Cross multiply
    586.64x = 879.66 × 278.24
  4. Step 4: Simplify right side
    586.64x = 244,752.20
  5. Step 5: Solve for x
    x = 244,752.20/586.64
  6. Step 6: Final answer
    x = 417.21

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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.