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Finding the Fourth Proportional to 322.42, 444.21 and 307.06

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Solution

The fourth proportional to 322.42, 444.21 and 307.06 is: 423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.42 : 444.21 = 307.06 : x
  2. Step 2: Convert to fraction form
    322.42/444.21 = 307.06/x
  3. Step 3: Cross multiply
    322.42x = 444.21 × 307.06
  4. Step 4: Simplify right side
    322.42x = 136,399.12
  5. Step 5: Solve for x
    x = 136,399.12/322.42
  6. Step 6: Final answer
    x = 423.05

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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.