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Finding the Fourth Proportional to 643.32, 965.34 and 354.84

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Solution

The fourth proportional to 643.32, 965.34 and 354.84 is: 532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 965.34 = 354.84 : x
  2. Step 2: Convert to fraction form
    643.32/965.34 = 354.84/x
  3. Step 3: Cross multiply
    643.32x = 965.34 × 354.84
  4. Step 4: Simplify right side
    643.32x = 342,541.25
  5. Step 5: Solve for x
    x = 342,541.25/643.32
  6. Step 6: Final answer
    x = 532.46

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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.