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Finding the Fourth Proportional to 586.66, 880.12 and 175.78

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Solution

The fourth proportional to 586.66, 880.12 and 175.78 is: 263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.66 : 880.12 = 175.78 : x
  2. Step 2: Convert to fraction form
    586.66/880.12 = 175.78/x
  3. Step 3: Cross multiply
    586.66x = 880.12 × 175.78
  4. Step 4: Simplify right side
    586.66x = 154,707.49
  5. Step 5: Solve for x
    x = 154,707.49/586.66
  6. Step 6: Final answer
    x = 263.71

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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.