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Finding the Fourth Proportional to 340.17, 469.08 and 293.67

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Solution

The fourth proportional to 340.17, 469.08 and 293.67 is: 404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.17 : 469.08 = 293.67 : x
  2. Step 2: Convert to fraction form
    340.17/469.08 = 293.67/x
  3. Step 3: Cross multiply
    340.17x = 469.08 × 293.67
  4. Step 4: Simplify right side
    340.17x = 137,754.72
  5. Step 5: Solve for x
    x = 137,754.72/340.17
  6. Step 6: Final answer
    x = 404.96

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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.