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Finding the Fourth Proportional to 444.52, 613.64 and 297.08

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Solution

The fourth proportional to 444.52, 613.64 and 297.08 is: 410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.52 : 613.64 = 297.08 : x
  2. Step 2: Convert to fraction form
    444.52/613.64 = 297.08/x
  3. Step 3: Cross multiply
    444.52x = 613.64 × 297.08
  4. Step 4: Simplify right side
    444.52x = 182,300.17
  5. Step 5: Solve for x
    x = 182,300.17/444.52
  6. Step 6: Final answer
    x = 410.11

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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.