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Finding the Fourth Proportional to 460.16, 691.73 and 369.85

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Solution

The fourth proportional to 460.16, 691.73 and 369.85 is: 555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.16 : 691.73 = 369.85 : x
  2. Step 2: Convert to fraction form
    460.16/691.73 = 369.85/x
  3. Step 3: Cross multiply
    460.16x = 691.73 × 369.85
  4. Step 4: Simplify right side
    460.16x = 255,836.34
  5. Step 5: Solve for x
    x = 255,836.34/460.16
  6. Step 6: Final answer
    x = 555.97

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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.