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Finding the Fourth Proportional to 506.13, 698.63 and 299.13

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Solution

The fourth proportional to 506.13, 698.63 and 299.13 is: 412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.13 : 698.63 = 299.13 : x
  2. Step 2: Convert to fraction form
    506.13/698.63 = 299.13/x
  3. Step 3: Cross multiply
    506.13x = 698.63 × 299.13
  4. Step 4: Simplify right side
    506.13x = 208,981.19
  5. Step 5: Solve for x
    x = 208,981.19/506.13
  6. Step 6: Final answer
    x = 412.90

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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.