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Finding the Fourth Proportional to 586.77, 880.29 and 175.89

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Solution

The fourth proportional to 586.77, 880.29 and 175.89 is: 263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.77 : 880.29 = 175.89 : x
  2. Step 2: Convert to fraction form
    586.77/880.29 = 175.89/x
  3. Step 3: Cross multiply
    586.77x = 880.29 × 175.89
  4. Step 4: Simplify right side
    586.77x = 154,833.33
  5. Step 5: Solve for x
    x = 154,833.33/586.77
  6. Step 6: Final answer
    x = 263.88

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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.