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Finding the Fourth Proportional to 493.71, 740.66 and 205.13

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Solution

The fourth proportional to 493.71, 740.66 and 205.13 is: 307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 740.66 = 205.13 : x
  2. Step 2: Convert to fraction form
    493.71/740.66 = 205.13/x
  3. Step 3: Cross multiply
    493.71x = 740.66 × 205.13
  4. Step 4: Simplify right side
    493.71x = 151,926.86
  5. Step 5: Solve for x
    x = 151,926.86/493.71
  6. Step 6: Final answer
    x = 307.72

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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.