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Finding the Fourth Proportional to 460.14, 635.10 and 283.14

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Solution

The fourth proportional to 460.14, 635.10 and 283.14 is: 390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.14 : 635.10 = 283.14 : x
  2. Step 2: Convert to fraction form
    460.14/635.10 = 283.14/x
  3. Step 3: Cross multiply
    460.14x = 635.10 × 283.14
  4. Step 4: Simplify right side
    460.14x = 179,822.21
  5. Step 5: Solve for x
    x = 179,822.21/460.14
  6. Step 6: Final answer
    x = 390.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.