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Finding the Fourth Proportional to 882.55, 1,323.94 and 305.47

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Solution

The fourth proportional to 882.55, 1,323.94 and 305.47 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.55 : 1,323.94 = 305.47 : x
  2. Step 2: Convert to fraction form
    882.55/1,323.94 = 305.47/x
  3. Step 3: Cross multiply
    882.55x = 1,323.94 × 305.47
  4. Step 4: Simplify right side
    882.55x = 404,423.95
  5. Step 5: Solve for x
    x = 404,423.95/882.55
  6. Step 6: Final answer
    x = 458.24

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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.