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Finding the Fourth Proportional to 582.16, 873.12 and 171.21

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Solution

The fourth proportional to 582.16, 873.12 and 171.21 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 873.12 = 171.21 : x
  2. Step 2: Convert to fraction form
    582.16/873.12 = 171.21/x
  3. Step 3: Cross multiply
    582.16x = 873.12 × 171.21
  4. Step 4: Simplify right side
    582.16x = 149,486.88
  5. Step 5: Solve for x
    x = 149,486.88/582.16
  6. Step 6: Final answer
    x = 256.78

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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.