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Finding the Fourth Proportional to 332.10, 495.95 and 286.56

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Solution

The fourth proportional to 332.10, 495.95 and 286.56 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 495.95 = 286.56 : x
  2. Step 2: Convert to fraction form
    332.10/495.95 = 286.56/x
  3. Step 3: Cross multiply
    332.10x = 495.95 × 286.56
  4. Step 4: Simplify right side
    332.10x = 142,118.00
  5. Step 5: Solve for x
    x = 142,118.00/332.10
  6. Step 6: Final answer
    x = 427.94

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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.