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Finding the Fourth Proportional to 537.09, 741.13 and 312.99

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Solution

The fourth proportional to 537.09, 741.13 and 312.99 is: 431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 741.13 = 312.99 : x
  2. Step 2: Convert to fraction form
    537.09/741.13 = 312.99/x
  3. Step 3: Cross multiply
    537.09x = 741.13 × 312.99
  4. Step 4: Simplify right side
    537.09x = 231,966.28
  5. Step 5: Solve for x
    x = 231,966.28/537.09
  6. Step 6: Final answer
    x = 431.89

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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.