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Finding the Fourth Proportional to 578.41, 866.86 and 505.10

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Solution

The fourth proportional to 578.41, 866.86 and 505.10 is: 756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.41 : 866.86 = 505.10 : x
  2. Step 2: Convert to fraction form
    578.41/866.86 = 505.10/x
  3. Step 3: Cross multiply
    578.41x = 866.86 × 505.10
  4. Step 4: Simplify right side
    578.41x = 437,850.99
  5. Step 5: Solve for x
    x = 437,850.99/578.41
  6. Step 6: Final answer
    x = 756.99

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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.