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Finding the Fourth Proportional to 465.32, 640.24 and 354.15

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Solution

The fourth proportional to 465.32, 640.24 and 354.15 is: 487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 640.24 = 354.15 : x
  2. Step 2: Convert to fraction form
    465.32/640.24 = 354.15/x
  3. Step 3: Cross multiply
    465.32x = 640.24 × 354.15
  4. Step 4: Simplify right side
    465.32x = 226,740.11
  5. Step 5: Solve for x
    x = 226,740.11/465.32
  6. Step 6: Final answer
    x = 487.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.