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Finding the Fourth Proportional to 643.60, 964.76 and 232.40

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Solution

The fourth proportional to 643.60, 964.76 and 232.40 is: 348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.60 : 964.76 = 232.40 : x
  2. Step 2: Convert to fraction form
    643.60/964.76 = 232.40/x
  3. Step 3: Cross multiply
    643.60x = 964.76 × 232.40
  4. Step 4: Simplify right side
    643.60x = 224,210.22
  5. Step 5: Solve for x
    x = 224,210.22/643.60
  6. Step 6: Final answer
    x = 348.37

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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.