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Finding the Fourth Proportional to 578.27, 866.97 and 289.50

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Solution

The fourth proportional to 578.27, 866.97 and 289.50 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.27 : 866.97 = 289.50 : x
  2. Step 2: Convert to fraction form
    578.27/866.97 = 289.50/x
  3. Step 3: Cross multiply
    578.27x = 866.97 × 289.50
  4. Step 4: Simplify right side
    578.27x = 250,987.82
  5. Step 5: Solve for x
    x = 250,987.82/578.27
  6. Step 6: Final answer
    x = 434.04

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1.5x scale

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.