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Finding the Fourth Proportional to 537.64, 742.06 and 316.51

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Solution

The fourth proportional to 537.64, 742.06 and 316.51 is: 436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 742.06 = 316.51 : x
  2. Step 2: Convert to fraction form
    537.64/742.06 = 316.51/x
  3. Step 3: Cross multiply
    537.64x = 742.06 × 316.51
  4. Step 4: Simplify right side
    537.64x = 234,867.95
  5. Step 5: Solve for x
    x = 234,867.95/537.64
  6. Step 6: Final answer
    x = 436.85

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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.