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Finding the Fourth Proportional to 505.66, 697.74 and 309.25

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Solution

The fourth proportional to 505.66, 697.74 and 309.25 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 697.74 = 309.25 : x
  2. Step 2: Convert to fraction form
    505.66/697.74 = 309.25/x
  3. Step 3: Cross multiply
    505.66x = 697.74 × 309.25
  4. Step 4: Simplify right side
    505.66x = 215,776.10
  5. Step 5: Solve for x
    x = 215,776.10/505.66
  6. Step 6: Final answer
    x = 426.72

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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.