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Finding the Fourth Proportional to 505.68, 697.68 and 295.84

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Solution

The fourth proportional to 505.68, 697.68 and 295.84 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 697.68 = 295.84 : x
  2. Step 2: Convert to fraction form
    505.68/697.68 = 295.84/x
  3. Step 3: Cross multiply
    505.68x = 697.68 × 295.84
  4. Step 4: Simplify right side
    505.68x = 206,401.65
  5. Step 5: Solve for x
    x = 206,401.65/505.68
  6. Step 6: Final answer
    x = 408.17

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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.