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Finding the Fourth Proportional to 635.50, 953.66 and 346.94

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Solution

The fourth proportional to 635.50, 953.66 and 346.94 is: 520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.50 : 953.66 = 346.94 : x
  2. Step 2: Convert to fraction form
    635.50/953.66 = 346.94/x
  3. Step 3: Cross multiply
    635.50x = 953.66 × 346.94
  4. Step 4: Simplify right side
    635.50x = 330,862.80
  5. Step 5: Solve for x
    x = 330,862.80/635.50
  6. Step 6: Final answer
    x = 520.63

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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.