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Finding the Fourth Proportional to 537.24, 805.28 and 352.07

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Solution

The fourth proportional to 537.24, 805.28 and 352.07 is: 527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 805.28 = 352.07 : x
  2. Step 2: Convert to fraction form
    537.24/805.28 = 352.07/x
  3. Step 3: Cross multiply
    537.24x = 805.28 × 352.07
  4. Step 4: Simplify right side
    537.24x = 283,514.93
  5. Step 5: Solve for x
    x = 283,514.93/537.24
  6. Step 6: Final answer
    x = 527.72

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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.