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Finding the Fourth Proportional to 505.77, 698.14 and 306.61

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Solution

The fourth proportional to 505.77, 698.14 and 306.61 is: 423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 698.14 = 306.61 : x
  2. Step 2: Convert to fraction form
    505.77/698.14 = 306.61/x
  3. Step 3: Cross multiply
    505.77x = 698.14 × 306.61
  4. Step 4: Simplify right side
    505.77x = 214,055.17
  5. Step 5: Solve for x
    x = 214,055.17/505.77
  6. Step 6: Final answer
    x = 423.23

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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.