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Finding the Fourth Proportional to 656.34, 984.19 and 348.33

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Solution

The fourth proportional to 656.34, 984.19 and 348.33 is: 522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.34 : 984.19 = 348.33 : x
  2. Step 2: Convert to fraction form
    656.34/984.19 = 348.33/x
  3. Step 3: Cross multiply
    656.34x = 984.19 × 348.33
  4. Step 4: Simplify right side
    656.34x = 342,822.90
  5. Step 5: Solve for x
    x = 342,822.90/656.34
  6. Step 6: Final answer
    x = 522.33

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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.