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Finding the Fourth Proportional to 292.01, 439.96 and 264.25

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Solution

The fourth proportional to 292.01, 439.96 and 264.25 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 439.96 = 264.25 : x
  2. Step 2: Convert to fraction form
    292.01/439.96 = 264.25/x
  3. Step 3: Cross multiply
    292.01x = 439.96 × 264.25
  4. Step 4: Simplify right side
    292.01x = 116,259.43
  5. Step 5: Solve for x
    x = 116,259.43/292.01
  6. Step 6: Final answer
    x = 398.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.