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Finding the Fourth Proportional to 292.56, 401.51 and 264.87

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Solution

The fourth proportional to 292.56, 401.51 and 264.87 is: 363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 401.51 = 264.87 : x
  2. Step 2: Convert to fraction form
    292.56/401.51 = 264.87/x
  3. Step 3: Cross multiply
    292.56x = 401.51 × 264.87
  4. Step 4: Simplify right side
    292.56x = 106,347.13
  5. Step 5: Solve for x
    x = 106,347.13/292.56
  6. Step 6: Final answer
    x = 363.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.