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Finding the Fourth Proportional to 505.64, 697.56 and 309.14

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Solution

The fourth proportional to 505.64, 697.56 and 309.14 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.64 : 697.56 = 309.14 : x
  2. Step 2: Convert to fraction form
    505.64/697.56 = 309.14/x
  3. Step 3: Cross multiply
    505.64x = 697.56 × 309.14
  4. Step 4: Simplify right side
    505.64x = 215,643.70
  5. Step 5: Solve for x
    x = 215,643.70/505.64
  6. Step 6: Final answer
    x = 426.48

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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.