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Finding the Fourth Proportional to 972.78, 1,459.38 and 323.58

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Solution

The fourth proportional to 972.78, 1,459.38 and 323.58 is: 485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.78 : 1,459.38 = 323.58 : x
  2. Step 2: Convert to fraction form
    972.78/1,459.38 = 323.58/x
  3. Step 3: Cross multiply
    972.78x = 1,459.38 × 323.58
  4. Step 4: Simplify right side
    972.78x = 472,226.18
  5. Step 5: Solve for x
    x = 472,226.18/972.78
  6. Step 6: Final answer
    x = 485.44

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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.