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Finding the Fourth Proportional to 592.50, 817.47 and 371.67

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Solution

The fourth proportional to 592.50, 817.47 and 371.67 is: 512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.50 : 817.47 = 371.67 : x
  2. Step 2: Convert to fraction form
    592.50/817.47 = 371.67/x
  3. Step 3: Cross multiply
    592.50x = 817.47 × 371.67
  4. Step 4: Simplify right side
    592.50x = 303,829.07
  5. Step 5: Solve for x
    x = 303,829.07/592.50
  6. Step 6: Final answer
    x = 512.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.