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Finding the Fourth Proportional to 332.10, 461.70 and 332.10

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Solution

The fourth proportional to 332.10, 461.70 and 332.10 is: 461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 461.70 = 332.10 : x
  2. Step 2: Convert to fraction form
    332.10/461.70 = 332.10/x
  3. Step 3: Cross multiply
    332.10x = 461.70 × 332.10
  4. Step 4: Simplify right side
    332.10x = 153,330.57
  5. Step 5: Solve for x
    x = 153,330.57/332.10
  6. Step 6: Final answer
    x = 461.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.