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Finding the Fourth Proportional to 407.54, 611.32 and 202.08

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Solution

The fourth proportional to 407.54, 611.32 and 202.08 is: 303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.54 : 611.32 = 202.08 : x
  2. Step 2: Convert to fraction form
    407.54/611.32 = 202.08/x
  3. Step 3: Cross multiply
    407.54x = 611.32 × 202.08
  4. Step 4: Simplify right side
    407.54x = 123,535.55
  5. Step 5: Solve for x
    x = 123,535.55/407.54
  6. Step 6: Final answer
    x = 303.12

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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.