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Finding the Fourth Proportional to 322.16, 442.93 and 262.40

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Solution

The fourth proportional to 322.16, 442.93 and 262.40 is: 360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 442.93 = 262.40 : x
  2. Step 2: Convert to fraction form
    322.16/442.93 = 262.40/x
  3. Step 3: Cross multiply
    322.16x = 442.93 × 262.40
  4. Step 4: Simplify right side
    322.16x = 116,224.83
  5. Step 5: Solve for x
    x = 116,224.83/322.16
  6. Step 6: Final answer
    x = 360.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.