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Finding the Fourth Proportional to 937.02, 1,404.26 and 359.58

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Solution

The fourth proportional to 937.02, 1,404.26 and 359.58 is: 538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.02 : 1,404.26 = 359.58 : x
  2. Step 2: Convert to fraction form
    937.02/1,404.26 = 359.58/x
  3. Step 3: Cross multiply
    937.02x = 1,404.26 × 359.58
  4. Step 4: Simplify right side
    937.02x = 504,943.81
  5. Step 5: Solve for x
    x = 504,943.81/937.02
  6. Step 6: Final answer
    x = 538.88

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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.