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Finding the Fourth Proportional to 407.46, 610.75 and 202.19

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Solution

The fourth proportional to 407.46, 610.75 and 202.19 is: 303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.46 : 610.75 = 202.19 : x
  2. Step 2: Convert to fraction form
    407.46/610.75 = 202.19/x
  3. Step 3: Cross multiply
    407.46x = 610.75 × 202.19
  4. Step 4: Simplify right side
    407.46x = 123,484.74
  5. Step 5: Solve for x
    x = 123,484.74/407.46
  6. Step 6: Final answer
    x = 303.06

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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.