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Finding the Fourth Proportional to 657, 984.96 and 348.66

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Solution

The fourth proportional to 657, 984.96 and 348.66 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657 : 984.96 = 348.66 : x
  2. Step 2: Convert to fraction form
    657/984.96 = 348.66/x
  3. Step 3: Cross multiply
    657x = 984.96 × 348.66
  4. Step 4: Simplify right side
    657x = 343,416.15
  5. Step 5: Solve for x
    x = 343,416.15/657
  6. Step 6: Final answer
    x = 522.70

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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.