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Finding the Fourth Proportional to 332.70, 464.70 and 332.70

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Solution

The fourth proportional to 332.70, 464.70 and 332.70 is: 464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.70 : 464.70 = 332.70 : x
  2. Step 2: Convert to fraction form
    332.70/464.70 = 332.70/x
  3. Step 3: Cross multiply
    332.70x = 464.70 × 332.70
  4. Step 4: Simplify right side
    332.70x = 154,605.69
  5. Step 5: Solve for x
    x = 154,605.69/332.70
  6. Step 6: Final answer
    x = 464.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.