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Finding the Fourth Proportional to 586.82, 879.96 and 278.58

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Solution

The fourth proportional to 586.82, 879.96 and 278.58 is: 417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.82 : 879.96 = 278.58 : x
  2. Step 2: Convert to fraction form
    586.82/879.96 = 278.58/x
  3. Step 3: Cross multiply
    586.82x = 879.96 × 278.58
  4. Step 4: Simplify right side
    586.82x = 245,139.26
  5. Step 5: Solve for x
    x = 245,139.26/586.82
  6. Step 6: Final answer
    x = 417.74

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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.