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Finding the Fourth Proportional to 578.41, 866.70 and 334.40

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Solution

The fourth proportional to 578.41, 866.70 and 334.40 is: 501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.41 : 866.70 = 334.40 : x
  2. Step 2: Convert to fraction form
    578.41/866.70 = 334.40/x
  3. Step 3: Cross multiply
    578.41x = 866.70 × 334.40
  4. Step 4: Simplify right side
    578.41x = 289,820.15
  5. Step 5: Solve for x
    x = 289,820.15/578.41
  6. Step 6: Final answer
    x = 501.07

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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.