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Finding the Fourth Proportional to 578.10, 866.34 and 433.65

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Solution

The fourth proportional to 578.10, 866.34 and 433.65 is: 649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 866.34 = 433.65 : x
  2. Step 2: Convert to fraction form
    578.10/866.34 = 433.65/x
  3. Step 3: Cross multiply
    578.10x = 866.34 × 433.65
  4. Step 4: Simplify right side
    578.10x = 375,688.34
  5. Step 5: Solve for x
    x = 375,688.34/578.10
  6. Step 6: Final answer
    x = 649.87

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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.