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Finding the Fourth Proportional to 643.80, 966.04 and 370.10

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Solution

The fourth proportional to 643.80, 966.04 and 370.10 is: 555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.80 : 966.04 = 370.10 : x
  2. Step 2: Convert to fraction form
    643.80/966.04 = 370.10/x
  3. Step 3: Cross multiply
    643.80x = 966.04 × 370.10
  4. Step 4: Simplify right side
    643.80x = 357,531.40
  5. Step 5: Solve for x
    x = 357,531.40/643.80
  6. Step 6: Final answer
    x = 555.35

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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.