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Finding the Fourth Proportional to 570.10, 855.78 and 408.50

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Solution

The fourth proportional to 570.10, 855.78 and 408.50 is: 613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.10 : 855.78 = 408.50 : x
  2. Step 2: Convert to fraction form
    570.10/855.78 = 408.50/x
  3. Step 3: Cross multiply
    570.10x = 855.78 × 408.50
  4. Step 4: Simplify right side
    570.10x = 349,586.74
  5. Step 5: Solve for x
    x = 349,586.74/570.10
  6. Step 6: Final answer
    x = 613.21

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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.