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Finding the Fourth Proportional to 457.03, 630.78 and 299.65

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Solution

The fourth proportional to 457.03, 630.78 and 299.65 is: 413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.03 : 630.78 = 299.65 : x
  2. Step 2: Convert to fraction form
    457.03/630.78 = 299.65/x
  3. Step 3: Cross multiply
    457.03x = 630.78 × 299.65
  4. Step 4: Simplify right side
    457.03x = 189,013.23
  5. Step 5: Solve for x
    x = 189,013.23/457.03
  6. Step 6: Final answer
    x = 413.57

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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.