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Finding the Fourth Proportional to 420.13, 630.19 and 304.63

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Solution

The fourth proportional to 420.13, 630.19 and 304.63 is: 456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.13 : 630.19 = 304.63 : x
  2. Step 2: Convert to fraction form
    420.13/630.19 = 304.63/x
  3. Step 3: Cross multiply
    420.13x = 630.19 × 304.63
  4. Step 4: Simplify right side
    420.13x = 191,974.78
  5. Step 5: Solve for x
    x = 191,974.78/420.13
  6. Step 6: Final answer
    x = 456.95

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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.