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Finding the Fourth Proportional to 460.53, 689.81 and 306.23

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Solution

The fourth proportional to 460.53, 689.81 and 306.23 is: 458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.53 : 689.81 = 306.23 : x
  2. Step 2: Convert to fraction form
    460.53/689.81 = 306.23/x
  3. Step 3: Cross multiply
    460.53x = 689.81 × 306.23
  4. Step 4: Simplify right side
    460.53x = 211,235.54
  5. Step 5: Solve for x
    x = 211,235.54/460.53
  6. Step 6: Final answer
    x = 458.68

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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.