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Finding the Fourth Proportional to 578.89, 866.29 and 510.55

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Solution

The fourth proportional to 578.89, 866.29 and 510.55 is: 764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.89 : 866.29 = 510.55 : x
  2. Step 2: Convert to fraction form
    578.89/866.29 = 510.55/x
  3. Step 3: Cross multiply
    578.89x = 866.29 × 510.55
  4. Step 4: Simplify right side
    578.89x = 442,283.50
  5. Step 5: Solve for x
    x = 442,283.50/578.89
  6. Step 6: Final answer
    x = 764.02

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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.