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Finding the Fourth Proportional to 523.14, 785.07 and 400.02

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Solution

The fourth proportional to 523.14, 785.07 and 400.02 is: 600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 785.07 = 400.02 : x
  2. Step 2: Convert to fraction form
    523.14/785.07 = 400.02/x
  3. Step 3: Cross multiply
    523.14x = 785.07 × 400.02
  4. Step 4: Simplify right side
    523.14x = 314,043.70
  5. Step 5: Solve for x
    x = 314,043.70/523.14
  6. Step 6: Final answer
    x = 600.31

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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.