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Finding the Fourth Proportional to 537.96, 807.30 and 401.16

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Solution

The fourth proportional to 537.96, 807.30 and 401.16 is: 602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.96 : 807.30 = 401.16 : x
  2. Step 2: Convert to fraction form
    537.96/807.30 = 401.16/x
  3. Step 3: Cross multiply
    537.96x = 807.30 × 401.16
  4. Step 4: Simplify right side
    537.96x = 323,856.47
  5. Step 5: Solve for x
    x = 323,856.47/537.96
  6. Step 6: Final answer
    x = 602.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.