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Finding the Fourth Proportional to 369.08, 509.24 and 319.87

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Solution

The fourth proportional to 369.08, 509.24 and 319.87 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.08 : 509.24 = 319.87 : x
  2. Step 2: Convert to fraction form
    369.08/509.24 = 319.87/x
  3. Step 3: Cross multiply
    369.08x = 509.24 × 319.87
  4. Step 4: Simplify right side
    369.08x = 162,886.45
  5. Step 5: Solve for x
    x = 162,886.45/369.08
  6. Step 6: Final answer
    x = 441.33

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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.