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Finding the Fourth Proportional to 460.98, 691.46 and 285.33

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Solution

The fourth proportional to 460.98, 691.46 and 285.33 is: 427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.98 : 691.46 = 285.33 : x
  2. Step 2: Convert to fraction form
    460.98/691.46 = 285.33/x
  3. Step 3: Cross multiply
    460.98x = 691.46 × 285.33
  4. Step 4: Simplify right side
    460.98x = 197,292.86
  5. Step 5: Solve for x
    x = 197,292.86/460.98
  6. Step 6: Final answer
    x = 427.99

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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.