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Finding the Fourth Proportional to 340.46, 507.26 and 337.04

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Solution

The fourth proportional to 340.46, 507.26 and 337.04 is: 502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.46 : 507.26 = 337.04 : x
  2. Step 2: Convert to fraction form
    340.46/507.26 = 337.04/x
  3. Step 3: Cross multiply
    340.46x = 507.26 × 337.04
  4. Step 4: Simplify right side
    340.46x = 170,969.97
  5. Step 5: Solve for x
    x = 170,969.97/340.46
  6. Step 6: Final answer
    x = 502.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.