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Finding the Fourth Proportional to 358.80, 535.33 and 319.82

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Solution

The fourth proportional to 358.80, 535.33 and 319.82 is: 477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 535.33 = 319.82 : x
  2. Step 2: Convert to fraction form
    358.80/535.33 = 319.82/x
  3. Step 3: Cross multiply
    358.80x = 535.33 × 319.82
  4. Step 4: Simplify right side
    358.80x = 171,207.77
  5. Step 5: Solve for x
    x = 171,207.77/358.80
  6. Step 6: Final answer
    x = 477.17

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