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Finding the Fourth Proportional to 481.53, 718.80 and 423.14

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Solution

The fourth proportional to 481.53, 718.80 and 423.14 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.53 : 718.80 = 423.14 : x
  2. Step 2: Convert to fraction form
    481.53/718.80 = 423.14/x
  3. Step 3: Cross multiply
    481.53x = 718.80 × 423.14
  4. Step 4: Simplify right side
    481.53x = 304,152.29
  5. Step 5: Solve for x
    x = 304,152.29/481.53
  6. Step 6: Final answer
    x = 631.64

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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.