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Finding the Fourth Proportional to 665.34, 997.70 and 357.14

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Solution

The fourth proportional to 665.34, 997.70 and 357.14 is: 535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 997.70 = 357.14 : x
  2. Step 2: Convert to fraction form
    665.34/997.70 = 357.14/x
  3. Step 3: Cross multiply
    665.34x = 997.70 × 357.14
  4. Step 4: Simplify right side
    665.34x = 356,318.58
  5. Step 5: Solve for x
    x = 356,318.58/665.34
  6. Step 6: Final answer
    x = 535.54

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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.