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Finding the Fourth Proportional to 537.64, 741.98 and 313.66

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Solution

The fourth proportional to 537.64, 741.98 and 313.66 is: 432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 741.98 = 313.66 : x
  2. Step 2: Convert to fraction form
    537.64/741.98 = 313.66/x
  3. Step 3: Cross multiply
    537.64x = 741.98 × 313.66
  4. Step 4: Simplify right side
    537.64x = 232,725.22
  5. Step 5: Solve for x
    x = 232,725.22/537.64
  6. Step 6: Final answer
    x = 432.87

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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.