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Finding the Fourth Proportional to 522.50, 786.37 and 393.17

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Solution

The fourth proportional to 522.50, 786.37 and 393.17 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.50 : 786.37 = 393.17 : x
  2. Step 2: Convert to fraction form
    522.50/786.37 = 393.17/x
  3. Step 3: Cross multiply
    522.50x = 786.37 × 393.17
  4. Step 4: Simplify right side
    522.50x = 309,177.09
  5. Step 5: Solve for x
    x = 309,177.09/522.50
  6. Step 6: Final answer
    x = 591.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.