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Finding the Fourth Proportional to 668.19, 922.10 and 369.46

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Solution

The fourth proportional to 668.19, 922.10 and 369.46 is: 509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.19 : 922.10 = 369.46 : x
  2. Step 2: Convert to fraction form
    668.19/922.10 = 369.46/x
  3. Step 3: Cross multiply
    668.19x = 922.10 × 369.46
  4. Step 4: Simplify right side
    668.19x = 340,676.82
  5. Step 5: Solve for x
    x = 340,676.82/668.19
  6. Step 6: Final answer
    x = 509.85

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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.