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Finding the Fourth Proportional to 537.40, 741.64 and 316.42

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Solution

The fourth proportional to 537.40, 741.64 and 316.42 is: 436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.40 : 741.64 = 316.42 : x
  2. Step 2: Convert to fraction form
    537.40/741.64 = 316.42/x
  3. Step 3: Cross multiply
    537.40x = 741.64 × 316.42
  4. Step 4: Simplify right side
    537.40x = 234,669.32
  5. Step 5: Solve for x
    x = 234,669.32/537.40
  6. Step 6: Final answer
    x = 436.68

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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.