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Finding the Fourth Proportional to 421.54, 630.41 and 322.74

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Solution

The fourth proportional to 421.54, 630.41 and 322.74 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.54 : 630.41 = 322.74 : x
  2. Step 2: Convert to fraction form
    421.54/630.41 = 322.74/x
  3. Step 3: Cross multiply
    421.54x = 630.41 × 322.74
  4. Step 4: Simplify right side
    421.54x = 203,458.52
  5. Step 5: Solve for x
    x = 203,458.52/421.54
  6. Step 6: Final answer
    x = 482.66

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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.