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Finding the Fourth Proportional to 420.47, 630.74 and 146.56

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Solution

The fourth proportional to 420.47, 630.74 and 146.56 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.47 : 630.74 = 146.56 : x
  2. Step 2: Convert to fraction form
    420.47/630.74 = 146.56/x
  3. Step 3: Cross multiply
    420.47x = 630.74 × 146.56
  4. Step 4: Simplify right side
    420.47x = 92,441.25
  5. Step 5: Solve for x
    x = 92,441.25/420.47
  6. Step 6: Final answer
    x = 219.85

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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.