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Finding the Fourth Proportional to 578.66, 866.59 and 405.50

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Solution

The fourth proportional to 578.66, 866.59 and 405.50 is: 607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.66 : 866.59 = 405.50 : x
  2. Step 2: Convert to fraction form
    578.66/866.59 = 405.50/x
  3. Step 3: Cross multiply
    578.66x = 866.59 × 405.50
  4. Step 4: Simplify right side
    578.66x = 351,402.25
  5. Step 5: Solve for x
    x = 351,402.25/578.66
  6. Step 6: Final answer
    x = 607.27

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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.