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Finding the Fourth Proportional to 443.93, 612.38 and 296.64

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Solution

The fourth proportional to 443.93, 612.38 and 296.64 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.93 : 612.38 = 296.64 : x
  2. Step 2: Convert to fraction form
    443.93/612.38 = 296.64/x
  3. Step 3: Cross multiply
    443.93x = 612.38 × 296.64
  4. Step 4: Simplify right side
    443.93x = 181,657.14
  5. Step 5: Solve for x
    x = 181,657.14/443.93
  6. Step 6: Final answer
    x = 409.21

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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.