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Finding the Fourth Proportional to 460.65, 635.91 and 295.09

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Solution

The fourth proportional to 460.65, 635.91 and 295.09 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.65 : 635.91 = 295.09 : x
  2. Step 2: Convert to fraction form
    460.65/635.91 = 295.09/x
  3. Step 3: Cross multiply
    460.65x = 635.91 × 295.09
  4. Step 4: Simplify right side
    460.65x = 187,646.03
  5. Step 5: Solve for x
    x = 187,646.03/460.65
  6. Step 6: Final answer
    x = 407.35

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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.