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Finding the Fourth Proportional to 635.42, 953.14 and 346.26

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Solution

The fourth proportional to 635.42, 953.14 and 346.26 is: 519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.42 : 953.14 = 346.26 : x
  2. Step 2: Convert to fraction form
    635.42/953.14 = 346.26/x
  3. Step 3: Cross multiply
    635.42x = 953.14 × 346.26
  4. Step 4: Simplify right side
    635.42x = 330,034.26
  5. Step 5: Solve for x
    x = 330,034.26/635.42
  6. Step 6: Final answer
    x = 519.40

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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.