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Finding the Fourth Proportional to 882.60, 1,323.08 and 305.08

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Solution

The fourth proportional to 882.60, 1,323.08 and 305.08 is: 457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.60 : 1,323.08 = 305.08 : x
  2. Step 2: Convert to fraction form
    882.60/1,323.08 = 305.08/x
  3. Step 3: Cross multiply
    882.60x = 1,323.08 × 305.08
  4. Step 4: Simplify right side
    882.60x = 403,645.25
  5. Step 5: Solve for x
    x = 403,645.25/882.60
  6. Step 6: Final answer
    x = 457.34

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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.