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Finding the Fourth Proportional to 505.68, 698.24 and 348.23

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Solution

The fourth proportional to 505.68, 698.24 and 348.23 is: 480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 698.24 = 348.23 : x
  2. Step 2: Convert to fraction form
    505.68/698.24 = 348.23/x
  3. Step 3: Cross multiply
    505.68x = 698.24 × 348.23
  4. Step 4: Simplify right side
    505.68x = 243,142.88
  5. Step 5: Solve for x
    x = 243,142.88/505.68
  6. Step 6: Final answer
    x = 480.82

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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.