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Finding the Fourth Proportional to 506.40, 698.68 and 299.40

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Solution

The fourth proportional to 506.40, 698.68 and 299.40 is: 413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.40 : 698.68 = 299.40 : x
  2. Step 2: Convert to fraction form
    506.40/698.68 = 299.40/x
  3. Step 3: Cross multiply
    506.40x = 698.68 × 299.40
  4. Step 4: Simplify right side
    506.40x = 209,184.79
  5. Step 5: Solve for x
    x = 209,184.79/506.40
  6. Step 6: Final answer
    x = 413.08

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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.