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Finding the Fourth Proportional to 582.46, 873.55 and 171.48

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Solution

The fourth proportional to 582.46, 873.55 and 171.48 is: 257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.46 : 873.55 = 171.48 : x
  2. Step 2: Convert to fraction form
    582.46/873.55 = 171.48/x
  3. Step 3: Cross multiply
    582.46x = 873.55 × 171.48
  4. Step 4: Simplify right side
    582.46x = 149,799.84
  5. Step 5: Solve for x
    x = 149,799.84/582.46
  6. Step 6: Final answer
    x = 257.19

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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.