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Finding the Fourth Proportional to 674.34, 1,011.33 and 289.50

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Solution

The fourth proportional to 674.34, 1,011.33 and 289.50 is: 434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.34 : 1,011.33 = 289.50 : x
  2. Step 2: Convert to fraction form
    674.34/1,011.33 = 289.50/x
  3. Step 3: Cross multiply
    674.34x = 1,011.33 × 289.50
  4. Step 4: Simplify right side
    674.34x = 292,780.04
  5. Step 5: Solve for x
    x = 292,780.04/674.34
  6. Step 6: Final answer
    x = 434.17

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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.