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Finding the Fourth Proportional to 460.95, 636.02 and 264.45

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Solution

The fourth proportional to 460.95, 636.02 and 264.45 is: 364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.95 : 636.02 = 264.45 : x
  2. Step 2: Convert to fraction form
    460.95/636.02 = 264.45/x
  3. Step 3: Cross multiply
    460.95x = 636.02 × 264.45
  4. Step 4: Simplify right side
    460.95x = 168,194.17
  5. Step 5: Solve for x
    x = 168,194.17/460.95
  6. Step 6: Final answer
    x = 364.89

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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.