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Finding the Fourth Proportional to 964.07, 1,446.14 and 347.78

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Solution

The fourth proportional to 964.07, 1,446.14 and 347.78 is: 521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.07 : 1,446.14 = 347.78 : x
  2. Step 2: Convert to fraction form
    964.07/1,446.14 = 347.78/x
  3. Step 3: Cross multiply
    964.07x = 1,446.14 × 347.78
  4. Step 4: Simplify right side
    964.07x = 502,938.57
  5. Step 5: Solve for x
    x = 502,938.57/964.07
  6. Step 6: Final answer
    x = 521.68

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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.