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Finding the Fourth Proportional to 369.28, 509.38 and 314.34

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Solution

The fourth proportional to 369.28, 509.38 and 314.34 is: 433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.28 : 509.38 = 314.34 : x
  2. Step 2: Convert to fraction form
    369.28/509.38 = 314.34/x
  3. Step 3: Cross multiply
    369.28x = 509.38 × 314.34
  4. Step 4: Simplify right side
    369.28x = 160,118.51
  5. Step 5: Solve for x
    x = 160,118.51/369.28
  6. Step 6: Final answer
    x = 433.60

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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.