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Finding the Fourth Proportional to 665.40, 997.17 and 340.08

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Solution

The fourth proportional to 665.40, 997.17 and 340.08 is: 509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 997.17 = 340.08 : x
  2. Step 2: Convert to fraction form
    665.40/997.17 = 340.08/x
  3. Step 3: Cross multiply
    665.40x = 997.17 × 340.08
  4. Step 4: Simplify right side
    665.40x = 339,111.74
  5. Step 5: Solve for x
    x = 339,111.74/665.40
  6. Step 6: Final answer
    x = 509.64

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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.