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Finding the Fourth Proportional to 934.90, 1,402.85 and 387.46

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Solution

The fourth proportional to 934.90, 1,402.85 and 387.46 is: 581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.90 : 1,402.85 = 387.46 : x
  2. Step 2: Convert to fraction form
    934.90/1,402.85 = 387.46/x
  3. Step 3: Cross multiply
    934.90x = 1,402.85 × 387.46
  4. Step 4: Simplify right side
    934.90x = 543,543.09
  5. Step 5: Solve for x
    x = 543,543.09/934.90
  6. Step 6: Final answer
    x = 581.39

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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.