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Finding the Fourth Proportional to 456.77, 630.56 and 299.63

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Solution

The fourth proportional to 456.77, 630.56 and 299.63 is: 413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.77 : 630.56 = 299.63 : x
  2. Step 2: Convert to fraction form
    456.77/630.56 = 299.63/x
  3. Step 3: Cross multiply
    456.77x = 630.56 × 299.63
  4. Step 4: Simplify right side
    456.77x = 188,934.69
  5. Step 5: Solve for x
    x = 188,934.69/456.77
  6. Step 6: Final answer
    x = 413.63

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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.