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Finding the Fourth Proportional to 586.75, 879.67 and 294.24

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Solution

The fourth proportional to 586.75, 879.67 and 294.24 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.75 : 879.67 = 294.24 : x
  2. Step 2: Convert to fraction form
    586.75/879.67 = 294.24/x
  3. Step 3: Cross multiply
    586.75x = 879.67 × 294.24
  4. Step 4: Simplify right side
    586.75x = 258,834.10
  5. Step 5: Solve for x
    x = 258,834.10/586.75
  6. Step 6: Final answer
    x = 441.13

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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.