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Finding the Fourth Proportional to 505.69, 698.01 and 309.13

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Solution

The fourth proportional to 505.69, 698.01 and 309.13 is: 426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 698.01 = 309.13 : x
  2. Step 2: Convert to fraction form
    505.69/698.01 = 309.13/x
  3. Step 3: Cross multiply
    505.69x = 698.01 × 309.13
  4. Step 4: Simplify right side
    505.69x = 215,775.83
  5. Step 5: Solve for x
    x = 215,775.83/505.69
  6. Step 6: Final answer
    x = 426.70

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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.