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Finding the Fourth Proportional to 581.45, 871.05 and 324.17

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Solution

The fourth proportional to 581.45, 871.05 and 324.17 is: 485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.45 : 871.05 = 324.17 : x
  2. Step 2: Convert to fraction form
    581.45/871.05 = 324.17/x
  3. Step 3: Cross multiply
    581.45x = 871.05 × 324.17
  4. Step 4: Simplify right side
    581.45x = 282,368.28
  5. Step 5: Solve for x
    x = 282,368.28/581.45
  6. Step 6: Final answer
    x = 485.63

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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.