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Finding the Fourth Proportional to 586.41, 879.76 and 175.59

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Solution

The fourth proportional to 586.41, 879.76 and 175.59 is: 263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.41 : 879.76 = 175.59 : x
  2. Step 2: Convert to fraction form
    586.41/879.76 = 175.59/x
  3. Step 3: Cross multiply
    586.41x = 879.76 × 175.59
  4. Step 4: Simplify right side
    586.41x = 154,479.75
  5. Step 5: Solve for x
    x = 154,479.75/586.41
  6. Step 6: Final answer
    x = 263.43

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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.