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Finding the Fourth Proportional to 292.91, 437.62 and 218.47

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Solution

The fourth proportional to 292.91, 437.62 and 218.47 is: 326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.91 : 437.62 = 218.47 : x
  2. Step 2: Convert to fraction form
    292.91/437.62 = 218.47/x
  3. Step 3: Cross multiply
    292.91x = 437.62 × 218.47
  4. Step 4: Simplify right side
    292.91x = 95,606.84
  5. Step 5: Solve for x
    x = 95,606.84/292.91
  6. Step 6: Final answer
    x = 326.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.