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Finding the Fourth Proportional to 586.64, 880.13 and 175.80

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Solution

The fourth proportional to 586.64, 880.13 and 175.80 is: 263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.64 : 880.13 = 175.80 : x
  2. Step 2: Convert to fraction form
    586.64/880.13 = 175.80/x
  3. Step 3: Cross multiply
    586.64x = 880.13 × 175.80
  4. Step 4: Simplify right side
    586.64x = 154,725.98
  5. Step 5: Solve for x
    x = 154,725.98/586.64
  6. Step 6: Final answer
    x = 263.75

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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.