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Finding the Fourth Proportional to 360.33, 496.83 and 307.71

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Solution

The fourth proportional to 360.33, 496.83 and 307.71 is: 424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.33 : 496.83 = 307.71 : x
  2. Step 2: Convert to fraction form
    360.33/496.83 = 307.71/x
  3. Step 3: Cross multiply
    360.33x = 496.83 × 307.71
  4. Step 4: Simplify right side
    360.33x = 152,880.71
  5. Step 5: Solve for x
    x = 152,880.71/360.33
  6. Step 6: Final answer
    x = 424.28

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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.