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Finding the Fourth Proportional to 460.61, 635.81 and 314.00

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Solution

The fourth proportional to 460.61, 635.81 and 314.00 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.61 : 635.81 = 314.00 : x
  2. Step 2: Convert to fraction form
    460.61/635.81 = 314.00/x
  3. Step 3: Cross multiply
    460.61x = 635.81 × 314.00
  4. Step 4: Simplify right side
    460.61x = 199,639.59
  5. Step 5: Solve for x
    x = 199,639.59/460.61
  6. Step 6: Final answer
    x = 433.43

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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.