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Finding the Fourth Proportional to 505.71, 697.86 and 309.24

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Solution

The fourth proportional to 505.71, 697.86 and 309.24 is: 426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.71 : 697.86 = 309.24 : x
  2. Step 2: Convert to fraction form
    505.71/697.86 = 309.24/x
  3. Step 3: Cross multiply
    505.71x = 697.86 × 309.24
  4. Step 4: Simplify right side
    505.71x = 215,806.23
  5. Step 5: Solve for x
    x = 215,806.23/505.71
  6. Step 6: Final answer
    x = 426.74

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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.