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Finding the Fourth Proportional to 934.60, 1,401.16 and 357.88

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Solution

The fourth proportional to 934.60, 1,401.16 and 357.88 is: 536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.60 : 1,401.16 = 357.88 : x
  2. Step 2: Convert to fraction form
    934.60/1,401.16 = 357.88/x
  3. Step 3: Cross multiply
    934.60x = 1,401.16 × 357.88
  4. Step 4: Simplify right side
    934.60x = 501,447.14
  5. Step 5: Solve for x
    x = 501,447.14/934.60
  6. Step 6: Final answer
    x = 536.54

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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.