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Finding the Fourth Proportional to 407.96, 611.40 and 356.48

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Solution

The fourth proportional to 407.96, 611.40 and 356.48 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.96 : 611.40 = 356.48 : x
  2. Step 2: Convert to fraction form
    407.96/611.40 = 356.48/x
  3. Step 3: Cross multiply
    407.96x = 611.40 × 356.48
  4. Step 4: Simplify right side
    407.96x = 217,951.87
  5. Step 5: Solve for x
    x = 217,951.87/407.96
  6. Step 6: Final answer
    x = 534.25

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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.