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Finding the Fourth Proportional to 964.10, 1,446.61 and 348.25

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Solution

The fourth proportional to 964.10, 1,446.61 and 348.25 is: 522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.10 : 1,446.61 = 348.25 : x
  2. Step 2: Convert to fraction form
    964.10/1,446.61 = 348.25/x
  3. Step 3: Cross multiply
    964.10x = 1,446.61 × 348.25
  4. Step 4: Simplify right side
    964.10x = 503,780.81
  5. Step 5: Solve for x
    x = 503,780.81/964.10
  6. Step 6: Final answer
    x = 522.54

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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.