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Finding the Fourth Proportional to 369.74, 509.63 and 286.52

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Solution

The fourth proportional to 369.74, 509.63 and 286.52 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.74 : 509.63 = 286.52 : x
  2. Step 2: Convert to fraction form
    369.74/509.63 = 286.52/x
  3. Step 3: Cross multiply
    369.74x = 509.63 × 286.52
  4. Step 4: Simplify right side
    369.74x = 146,015.21
  5. Step 5: Solve for x
    x = 146,015.21/369.74
  6. Step 6: Final answer
    x = 394.91

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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.