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Finding the Fourth Proportional to 882.42, 1,323.73 and 289.42

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Solution

The fourth proportional to 882.42, 1,323.73 and 289.42 is: 434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.42 : 1,323.73 = 289.42 : x
  2. Step 2: Convert to fraction form
    882.42/1,323.73 = 289.42/x
  3. Step 3: Cross multiply
    882.42x = 1,323.73 × 289.42
  4. Step 4: Simplify right side
    882.42x = 383,113.94
  5. Step 5: Solve for x
    x = 383,113.94/882.42
  6. Step 6: Final answer
    x = 434.17

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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.