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Finding the Fourth Proportional to 330.96, 493.71 and 314.76

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Solution

The fourth proportional to 330.96, 493.71 and 314.76 is: 469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 493.71 = 314.76 : x
  2. Step 2: Convert to fraction form
    330.96/493.71 = 314.76/x
  3. Step 3: Cross multiply
    330.96x = 493.71 × 314.76
  4. Step 4: Simplify right side
    330.96x = 155,400.16
  5. Step 5: Solve for x
    x = 155,400.16/330.96
  6. Step 6: Final answer
    x = 469.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.