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Finding the Fourth Proportional to 973, 1,459.88 and 323.73

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Solution

The fourth proportional to 973, 1,459.88 and 323.73 is: 485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    973 : 1,459.88 = 323.73 : x
  2. Step 2: Convert to fraction form
    973/1,459.88 = 323.73/x
  3. Step 3: Cross multiply
    973x = 1,459.88 × 323.73
  4. Step 4: Simplify right side
    973x = 472,606.95
  5. Step 5: Solve for x
    x = 472,606.95/973
  6. Step 6: Final answer
    x = 485.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.