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Finding the Fourth Proportional to 610.50, 915.84 and 285.69

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Solution

The fourth proportional to 610.50, 915.84 and 285.69 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.50 : 915.84 = 285.69 : x
  2. Step 2: Convert to fraction form
    610.50/915.84 = 285.69/x
  3. Step 3: Cross multiply
    610.50x = 915.84 × 285.69
  4. Step 4: Simplify right side
    610.50x = 261,646.33
  5. Step 5: Solve for x
    x = 261,646.33/610.50
  6. Step 6: Final answer
    x = 428.58

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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.