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Finding the Fourth Proportional to 645.98, 966.54 and 385.02

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Solution

The fourth proportional to 645.98, 966.54 and 385.02 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.98 : 966.54 = 385.02 : x
  2. Step 2: Convert to fraction form
    645.98/966.54 = 385.02/x
  3. Step 3: Cross multiply
    645.98x = 966.54 × 385.02
  4. Step 4: Simplify right side
    645.98x = 372,137.23
  5. Step 5: Solve for x
    x = 372,137.23/645.98
  6. Step 6: Final answer
    x = 576.08

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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.