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Finding the Fourth Proportional to 934.66, 1,402.14 and 285.34

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Solution

The fourth proportional to 934.66, 1,402.14 and 285.34 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.66 : 1,402.14 = 285.34 : x
  2. Step 2: Convert to fraction form
    934.66/1,402.14 = 285.34/x
  3. Step 3: Cross multiply
    934.66x = 1,402.14 × 285.34
  4. Step 4: Simplify right side
    934.66x = 400,086.63
  5. Step 5: Solve for x
    x = 400,086.63/934.66
  6. Step 6: Final answer
    x = 428.06

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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.