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Finding the Fourth Proportional to 491.18, 733.52 and 464.52

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Solution

The fourth proportional to 491.18, 733.52 and 464.52 is: 693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.18 : 733.52 = 464.52 : x
  2. Step 2: Convert to fraction form
    491.18/733.52 = 464.52/x
  3. Step 3: Cross multiply
    491.18x = 733.52 × 464.52
  4. Step 4: Simplify right side
    491.18x = 340,732.39
  5. Step 5: Solve for x
    x = 340,732.39/491.18
  6. Step 6: Final answer
    x = 693.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.