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Finding the Fourth Proportional to 882.70, 1,324.50 and 363.10

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Solution

The fourth proportional to 882.70, 1,324.50 and 363.10 is: 544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,324.50 = 363.10 : x
  2. Step 2: Convert to fraction form
    882.70/1,324.50 = 363.10/x
  3. Step 3: Cross multiply
    882.70x = 1,324.50 × 363.10
  4. Step 4: Simplify right side
    882.70x = 480,925.95
  5. Step 5: Solve for x
    x = 480,925.95/882.70
  6. Step 6: Final answer
    x = 544.84

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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.