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Finding the Fourth Proportional to 578.81, 866.90 and 406.25

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Solution

The fourth proportional to 578.81, 866.90 and 406.25 is: 608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 866.90 = 406.25 : x
  2. Step 2: Convert to fraction form
    578.81/866.90 = 406.25/x
  3. Step 3: Cross multiply
    578.81x = 866.90 × 406.25
  4. Step 4: Simplify right side
    578.81x = 352,171.76
  5. Step 5: Solve for x
    x = 352,171.76/578.81
  6. Step 6: Final answer
    x = 608.45

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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.