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Finding the Fourth Proportional to 668.52, 922.14 and 402.84

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Solution

The fourth proportional to 668.52, 922.14 and 402.84 is: 555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.52 : 922.14 = 402.84 : x
  2. Step 2: Convert to fraction form
    668.52/922.14 = 402.84/x
  3. Step 3: Cross multiply
    668.52x = 922.14 × 402.84
  4. Step 4: Simplify right side
    668.52x = 371,474.88
  5. Step 5: Solve for x
    x = 371,474.88/668.52
  6. Step 6: Final answer
    x = 555.67

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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.