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Finding the Fourth Proportional to 460.85, 635.93 and 264.35

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Solution

The fourth proportional to 460.85, 635.93 and 264.35 is: 364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.85 : 635.93 = 264.35 : x
  2. Step 2: Convert to fraction form
    460.85/635.93 = 264.35/x
  3. Step 3: Cross multiply
    460.85x = 635.93 × 264.35
  4. Step 4: Simplify right side
    460.85x = 168,103.59
  5. Step 5: Solve for x
    x = 168,103.59/460.85
  6. Step 6: Final answer
    x = 364.77

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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.