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Finding the Fourth Proportional to 537.54, 741.72 and 316.46

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Solution

The fourth proportional to 537.54, 741.72 and 316.46 is: 436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.54 : 741.72 = 316.46 : x
  2. Step 2: Convert to fraction form
    537.54/741.72 = 316.46/x
  3. Step 3: Cross multiply
    537.54x = 741.72 × 316.46
  4. Step 4: Simplify right side
    537.54x = 234,724.71
  5. Step 5: Solve for x
    x = 234,724.71/537.54
  6. Step 6: Final answer
    x = 436.66

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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.