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Finding the Fourth Proportional to 496.71, 745.33 and 291.68

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Solution

The fourth proportional to 496.71, 745.33 and 291.68 is: 437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.71 : 745.33 = 291.68 : x
  2. Step 2: Convert to fraction form
    496.71/745.33 = 291.68/x
  3. Step 3: Cross multiply
    496.71x = 745.33 × 291.68
  4. Step 4: Simplify right side
    496.71x = 217,393.82
  5. Step 5: Solve for x
    x = 217,393.82/496.71
  6. Step 6: Final answer
    x = 437.67

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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.