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Finding the Fourth Proportional to 537.08, 741.24 and 313.12

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Solution

The fourth proportional to 537.08, 741.24 and 313.12 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.08 : 741.24 = 313.12 : x
  2. Step 2: Convert to fraction form
    537.08/741.24 = 313.12/x
  3. Step 3: Cross multiply
    537.08x = 741.24 × 313.12
  4. Step 4: Simplify right side
    537.08x = 232,097.07
  5. Step 5: Solve for x
    x = 232,097.07/537.08
  6. Step 6: Final answer
    x = 432.15

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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.