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Finding the Fourth Proportional to 322.94, 482.00 and 278.82

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Solution

The fourth proportional to 322.94, 482.00 and 278.82 is: 416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.94 : 482.00 = 278.82 : x
  2. Step 2: Convert to fraction form
    322.94/482.00 = 278.82/x
  3. Step 3: Cross multiply
    322.94x = 482.00 × 278.82
  4. Step 4: Simplify right side
    322.94x = 134,390.92
  5. Step 5: Solve for x
    x = 134,390.92/322.94
  6. Step 6: Final answer
    x = 416.15

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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.