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Finding the Fourth Proportional to 408.88, 610.66 and 354.16

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Solution

The fourth proportional to 408.88, 610.66 and 354.16 is: 528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.88 : 610.66 = 354.16 : x
  2. Step 2: Convert to fraction form
    408.88/610.66 = 354.16/x
  3. Step 3: Cross multiply
    408.88x = 610.66 × 354.16
  4. Step 4: Simplify right side
    408.88x = 216,271.35
  5. Step 5: Solve for x
    x = 216,271.35/408.88
  6. Step 6: Final answer
    x = 528.94

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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.