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Finding the Fourth Proportional to 444.93, 613.76 and 297.64

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Solution

The fourth proportional to 444.93, 613.76 and 297.64 is: 410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.93 : 613.76 = 297.64 : x
  2. Step 2: Convert to fraction form
    444.93/613.76 = 297.64/x
  3. Step 3: Cross multiply
    444.93x = 613.76 × 297.64
  4. Step 4: Simplify right side
    444.93x = 182,679.53
  5. Step 5: Solve for x
    x = 182,679.53/444.93
  6. Step 6: Final answer
    x = 410.58

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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.