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Finding the Fourth Proportional to 578.02, 866.70 and 334.75

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Solution

The fourth proportional to 578.02, 866.70 and 334.75 is: 501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.02 : 866.70 = 334.75 : x
  2. Step 2: Convert to fraction form
    578.02/866.70 = 334.75/x
  3. Step 3: Cross multiply
    578.02x = 866.70 × 334.75
  4. Step 4: Simplify right side
    578.02x = 290,127.83
  5. Step 5: Solve for x
    x = 290,127.83/578.02
  6. Step 6: Final answer
    x = 501.93

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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.