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Finding the Fourth Proportional to 586.08, 879.22 and 175.24

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Solution

The fourth proportional to 586.08, 879.22 and 175.24 is: 262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 879.22 = 175.24 : x
  2. Step 2: Convert to fraction form
    586.08/879.22 = 175.24/x
  3. Step 3: Cross multiply
    586.08x = 879.22 × 175.24
  4. Step 4: Simplify right side
    586.08x = 154,074.51
  5. Step 5: Solve for x
    x = 154,074.51/586.08
  6. Step 6: Final answer
    x = 262.89

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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.