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Finding the Fourth Proportional to 444.16, 612.98 and 269.60

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Solution

The fourth proportional to 444.16, 612.98 and 269.60 is: 372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.16 : 612.98 = 269.60 : x
  2. Step 2: Convert to fraction form
    444.16/612.98 = 269.60/x
  3. Step 3: Cross multiply
    444.16x = 612.98 × 269.60
  4. Step 4: Simplify right side
    444.16x = 165,259.41
  5. Step 5: Solve for x
    x = 165,259.41/444.16
  6. Step 6: Final answer
    x = 372.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.