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Finding the Fourth Proportional to 460.61, 635.66 and 264.16

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Solution

The fourth proportional to 460.61, 635.66 and 264.16 is: 364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.61 : 635.66 = 264.16 : x
  2. Step 2: Convert to fraction form
    460.61/635.66 = 264.16/x
  3. Step 3: Cross multiply
    460.61x = 635.66 × 264.16
  4. Step 4: Simplify right side
    460.61x = 167,914.62
  5. Step 5: Solve for x
    x = 167,914.62/460.61
  6. Step 6: Final answer
    x = 364.55

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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.