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Finding the Fourth Proportional to 407.91, 610.52 and 253.95

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Solution

The fourth proportional to 407.91, 610.52 and 253.95 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.91 : 610.52 = 253.95 : x
  2. Step 2: Convert to fraction form
    407.91/610.52 = 253.95/x
  3. Step 3: Cross multiply
    407.91x = 610.52 × 253.95
  4. Step 4: Simplify right side
    407.91x = 155,040.28
  5. Step 5: Solve for x
    x = 155,040.28/407.91
  6. Step 6: Final answer
    x = 380.08

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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.