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Finding the Fourth Proportional to 586.29, 879.78 and 541.19

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Solution

The fourth proportional to 586.29, 879.78 and 541.19 is: 812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 879.78 = 541.19 : x
  2. Step 2: Convert to fraction form
    586.29/879.78 = 541.19/x
  3. Step 3: Cross multiply
    586.29x = 879.78 × 541.19
  4. Step 4: Simplify right side
    586.29x = 476,123.74
  5. Step 5: Solve for x
    x = 476,123.74/586.29
  6. Step 6: Final answer
    x = 812.10

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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.