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Finding the Fourth Proportional to 369.08, 508.14 and 344.24

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Solution

The fourth proportional to 369.08, 508.14 and 344.24 is: 473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.08 : 508.14 = 344.24 : x
  2. Step 2: Convert to fraction form
    369.08/508.14 = 344.24/x
  3. Step 3: Cross multiply
    369.08x = 508.14 × 344.24
  4. Step 4: Simplify right side
    369.08x = 174,922.11
  5. Step 5: Solve for x
    x = 174,922.11/369.08
  6. Step 6: Final answer
    x = 473.94

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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.