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Finding the Fourth Proportional to 668.84, 1,002.78 and 322.07

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Solution

The fourth proportional to 668.84, 1,002.78 and 322.07 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.84 : 1,002.78 = 322.07 : x
  2. Step 2: Convert to fraction form
    668.84/1,002.78 = 322.07/x
  3. Step 3: Cross multiply
    668.84x = 1,002.78 × 322.07
  4. Step 4: Simplify right side
    668.84x = 322,960.34
  5. Step 5: Solve for x
    x = 322,960.34/668.84
  6. Step 6: Final answer
    x = 482.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.