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Finding the Fourth Proportional to 882.31, 1,323.50 and 305.19

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Solution

The fourth proportional to 882.31, 1,323.50 and 305.19 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.31 : 1,323.50 = 305.19 : x
  2. Step 2: Convert to fraction form
    882.31/1,323.50 = 305.19/x
  3. Step 3: Cross multiply
    882.31x = 1,323.50 × 305.19
  4. Step 4: Simplify right side
    882.31x = 403,918.97
  5. Step 5: Solve for x
    x = 403,918.97/882.31
  6. Step 6: Final answer
    x = 457.80

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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.