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Finding the Fourth Proportional to 456.47, 684.78 and 144.14

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Solution

The fourth proportional to 456.47, 684.78 and 144.14 is: 216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 684.78 = 144.14 : x
  2. Step 2: Convert to fraction form
    456.47/684.78 = 144.14/x
  3. Step 3: Cross multiply
    456.47x = 684.78 × 144.14
  4. Step 4: Simplify right side
    456.47x = 98,704.19
  5. Step 5: Solve for x
    x = 98,704.19/456.47
  6. Step 6: Final answer
    x = 216.23

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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.