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Finding the Fourth Proportional to 882.29, 1,323.54 and 334.87

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Solution

The fourth proportional to 882.29, 1,323.54 and 334.87 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.29 : 1,323.54 = 334.87 : x
  2. Step 2: Convert to fraction form
    882.29/1,323.54 = 334.87/x
  3. Step 3: Cross multiply
    882.29x = 1,323.54 × 334.87
  4. Step 4: Simplify right side
    882.29x = 443,210.53
  5. Step 5: Solve for x
    x = 443,210.53/882.29
  6. Step 6: Final answer
    x = 502.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.