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Finding the Fourth Proportional to 408.48, 610.16 and 340.07

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Solution

The fourth proportional to 408.48, 610.16 and 340.07 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.48 : 610.16 = 340.07 : x
  2. Step 2: Convert to fraction form
    408.48/610.16 = 340.07/x
  3. Step 3: Cross multiply
    408.48x = 610.16 × 340.07
  4. Step 4: Simplify right side
    408.48x = 207,492.36
  5. Step 5: Solve for x
    x = 207,492.36/408.48
  6. Step 6: Final answer
    x = 507.96

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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.