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Finding the Fourth Proportional to 586.11, 879.61 and 277.97

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Solution

The fourth proportional to 586.11, 879.61 and 277.97 is: 417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.11 : 879.61 = 277.97 : x
  2. Step 2: Convert to fraction form
    586.11/879.61 = 277.97/x
  3. Step 3: Cross multiply
    586.11x = 879.61 × 277.97
  4. Step 4: Simplify right side
    586.11x = 244,501.60
  5. Step 5: Solve for x
    x = 244,501.60/586.11
  6. Step 6: Final answer
    x = 417.16

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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.