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Finding the Fourth Proportional to 934.56, 1,400.58 and 446.58

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Solution

The fourth proportional to 934.56, 1,400.58 and 446.58 is: 669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.56 : 1,400.58 = 446.58 : x
  2. Step 2: Convert to fraction form
    934.56/1,400.58 = 446.58/x
  3. Step 3: Cross multiply
    934.56x = 1,400.58 × 446.58
  4. Step 4: Simplify right side
    934.56x = 625,471.02
  5. Step 5: Solve for x
    x = 625,471.02/934.56
  6. Step 6: Final answer
    x = 669.27

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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.