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Finding the Fourth Proportional to 407.75, 610.20 and 384.06

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Solution

The fourth proportional to 407.75, 610.20 and 384.06 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.75 : 610.20 = 384.06 : x
  2. Step 2: Convert to fraction form
    407.75/610.20 = 384.06/x
  3. Step 3: Cross multiply
    407.75x = 610.20 × 384.06
  4. Step 4: Simplify right side
    407.75x = 234,353.41
  5. Step 5: Solve for x
    x = 234,353.41/407.75
  6. Step 6: Final answer
    x = 574.75

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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.