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Finding the Fourth Proportional to 960.32, 1,440.54 and 335.63

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Solution

The fourth proportional to 960.32, 1,440.54 and 335.63 is: 503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.32 : 1,440.54 = 335.63 : x
  2. Step 2: Convert to fraction form
    960.32/1,440.54 = 335.63/x
  3. Step 3: Cross multiply
    960.32x = 1,440.54 × 335.63
  4. Step 4: Simplify right side
    960.32x = 483,481.24
  5. Step 5: Solve for x
    x = 483,481.24/960.32
  6. Step 6: Final answer
    x = 503.46

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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.