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Finding the Fourth Proportional to 316.77, 437.24 and 212.01

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Solution

The fourth proportional to 316.77, 437.24 and 212.01 is: 292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.77 : 437.24 = 212.01 : x
  2. Step 2: Convert to fraction form
    316.77/437.24 = 212.01/x
  3. Step 3: Cross multiply
    316.77x = 437.24 × 212.01
  4. Step 4: Simplify right side
    316.77x = 92,699.25
  5. Step 5: Solve for x
    x = 92,699.25/316.77
  6. Step 6: Final answer
    x = 292.64

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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.