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Finding the Fourth Proportional to 444.16, 613.08 and 296.83

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Solution

The fourth proportional to 444.16, 613.08 and 296.83 is: 409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.16 : 613.08 = 296.83 : x
  2. Step 2: Convert to fraction form
    444.16/613.08 = 296.83/x
  3. Step 3: Cross multiply
    444.16x = 613.08 × 296.83
  4. Step 4: Simplify right side
    444.16x = 181,980.54
  5. Step 5: Solve for x
    x = 181,980.54/444.16
  6. Step 6: Final answer
    x = 409.72

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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.