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Finding the Fourth Proportional to 321.60, 442.54 and 312.10

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Solution

The fourth proportional to 321.60, 442.54 and 312.10 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.60 : 442.54 = 312.10 : x
  2. Step 2: Convert to fraction form
    321.60/442.54 = 312.10/x
  3. Step 3: Cross multiply
    321.60x = 442.54 × 312.10
  4. Step 4: Simplify right side
    321.60x = 138,116.73
  5. Step 5: Solve for x
    x = 138,116.73/321.60
  6. Step 6: Final answer
    x = 429.47

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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.