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Finding the Fourth Proportional to 496.49, 745.88 and 468.81

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Solution

The fourth proportional to 496.49, 745.88 and 468.81 is: 704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.49 : 745.88 = 468.81 : x
  2. Step 2: Convert to fraction form
    496.49/745.88 = 468.81/x
  3. Step 3: Cross multiply
    496.49x = 745.88 × 468.81
  4. Step 4: Simplify right side
    496.49x = 349,673.66
  5. Step 5: Solve for x
    x = 349,673.66/496.49
  6. Step 6: Final answer
    x = 704.30

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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.