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Finding the Fourth Proportional to 934.26, 1,402.06 and 357.14

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Solution

The fourth proportional to 934.26, 1,402.06 and 357.14 is: 535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.26 : 1,402.06 = 357.14 : x
  2. Step 2: Convert to fraction form
    934.26/1,402.06 = 357.14/x
  3. Step 3: Cross multiply
    934.26x = 1,402.06 × 357.14
  4. Step 4: Simplify right side
    934.26x = 500,731.71
  5. Step 5: Solve for x
    x = 500,731.71/934.26
  6. Step 6: Final answer
    x = 535.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.