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Finding the Fourth Proportional to 322.84, 442.60 and 307.20

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Solution

The fourth proportional to 322.84, 442.60 and 307.20 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.84 : 442.60 = 307.20 : x
  2. Step 2: Convert to fraction form
    322.84/442.60 = 307.20/x
  3. Step 3: Cross multiply
    322.84x = 442.60 × 307.20
  4. Step 4: Simplify right side
    322.84x = 135,966.72
  5. Step 5: Solve for x
    x = 135,966.72/322.84
  6. Step 6: Final answer
    x = 421.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.