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Finding the Fourth Proportional to 496.52, 745.35 and 291.24

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Solution

The fourth proportional to 496.52, 745.35 and 291.24 is: 437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.52 : 745.35 = 291.24 : x
  2. Step 2: Convert to fraction form
    496.52/745.35 = 291.24/x
  3. Step 3: Cross multiply
    496.52x = 745.35 × 291.24
  4. Step 4: Simplify right side
    496.52x = 217,072.01
  5. Step 5: Solve for x
    x = 217,072.01/496.52
  6. Step 6: Final answer
    x = 437.19

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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.