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Finding the Fourth Proportional to 934.47, 1,400.89 and 357.75

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Solution

The fourth proportional to 934.47, 1,400.89 and 357.75 is: 536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.47 : 1,400.89 = 357.75 : x
  2. Step 2: Convert to fraction form
    934.47/1,400.89 = 357.75/x
  3. Step 3: Cross multiply
    934.47x = 1,400.89 × 357.75
  4. Step 4: Simplify right side
    934.47x = 501,168.40
  5. Step 5: Solve for x
    x = 501,168.40/934.47
  6. Step 6: Final answer
    x = 536.31

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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.