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Finding the Fourth Proportional to 321.66, 478.62 and 320.58

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Solution

The fourth proportional to 321.66, 478.62 and 320.58 is: 477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.66 : 478.62 = 320.58 : x
  2. Step 2: Convert to fraction form
    321.66/478.62 = 320.58/x
  3. Step 3: Cross multiply
    321.66x = 478.62 × 320.58
  4. Step 4: Simplify right side
    321.66x = 153,436.00
  5. Step 5: Solve for x
    x = 153,436.00/321.66
  6. Step 6: Final answer
    x = 477.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.