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Finding the Fourth Proportional to 962.64, 1,444.03 and 313.84

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Solution

The fourth proportional to 962.64, 1,444.03 and 313.84 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.64 : 1,444.03 = 313.84 : x
  2. Step 2: Convert to fraction form
    962.64/1,444.03 = 313.84/x
  3. Step 3: Cross multiply
    962.64x = 1,444.03 × 313.84
  4. Step 4: Simplify right side
    962.64x = 453,194.38
  5. Step 5: Solve for x
    x = 453,194.38/962.64
  6. Step 6: Final answer
    x = 470.78

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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.