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Finding the Fourth Proportional to 460.76, 691.74 and 392.72

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Solution

The fourth proportional to 460.76, 691.74 and 392.72 is: 589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.76 : 691.74 = 392.72 : x
  2. Step 2: Convert to fraction form
    460.76/691.74 = 392.72/x
  3. Step 3: Cross multiply
    460.76x = 691.74 × 392.72
  4. Step 4: Simplify right side
    460.76x = 271,660.13
  5. Step 5: Solve for x
    x = 271,660.13/460.76
  6. Step 6: Final answer
    x = 589.59

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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.