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Finding the Fourth Proportional to 460.52, 635.59 and 264.10

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Solution

The fourth proportional to 460.52, 635.59 and 264.10 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.52 : 635.59 = 264.10 : x
  2. Step 2: Convert to fraction form
    460.52/635.59 = 264.10/x
  3. Step 3: Cross multiply
    460.52x = 635.59 × 264.10
  4. Step 4: Simplify right side
    460.52x = 167,858.06
  5. Step 5: Solve for x
    x = 167,858.06/460.52
  6. Step 6: Final answer
    x = 364.49

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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.