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Finding the Fourth Proportional to 292.76, 437.84 and 260.48

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Solution

The fourth proportional to 292.76, 437.84 and 260.48 is: 389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.76 : 437.84 = 260.48 : x
  2. Step 2: Convert to fraction form
    292.76/437.84 = 260.48/x
  3. Step 3: Cross multiply
    292.76x = 437.84 × 260.48
  4. Step 4: Simplify right side
    292.76x = 114,049.01
  5. Step 5: Solve for x
    x = 114,049.01/292.76
  6. Step 6: Final answer
    x = 389.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.