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Finding the Fourth Proportional to 607.80, 911.52 and 319.08

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Solution

The fourth proportional to 607.80, 911.52 and 319.08 is: 478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.80 : 911.52 = 319.08 : x
  2. Step 2: Convert to fraction form
    607.80/911.52 = 319.08/x
  3. Step 3: Cross multiply
    607.80x = 911.52 × 319.08
  4. Step 4: Simplify right side
    607.80x = 290,847.80
  5. Step 5: Solve for x
    x = 290,847.80/607.80
  6. Step 6: Final answer
    x = 478.53

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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.