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Finding the Fourth Proportional to 468.47, 647.23 and 321.53

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Solution

The fourth proportional to 468.47, 647.23 and 321.53 is: 444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.47 : 647.23 = 321.53 : x
  2. Step 2: Convert to fraction form
    468.47/647.23 = 321.53/x
  3. Step 3: Cross multiply
    468.47x = 647.23 × 321.53
  4. Step 4: Simplify right side
    468.47x = 208,103.86
  5. Step 5: Solve for x
    x = 208,103.86/468.47
  6. Step 6: Final answer
    x = 444.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.