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Finding the Fourth Proportional to 358.82, 535.09 and 319.49

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Solution

The fourth proportional to 358.82, 535.09 and 319.49 is: 476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.82 : 535.09 = 319.49 : x
  2. Step 2: Convert to fraction form
    358.82/535.09 = 319.49/x
  3. Step 3: Cross multiply
    358.82x = 535.09 × 319.49
  4. Step 4: Simplify right side
    358.82x = 170,955.90
  5. Step 5: Solve for x
    x = 170,955.90/358.82
  6. Step 6: Final answer
    x = 476.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.