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Finding the Fourth Proportional to 566.85, 782.42 and 370.39

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Solution

The fourth proportional to 566.85, 782.42 and 370.39 is: 511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.85 : 782.42 = 370.39 : x
  2. Step 2: Convert to fraction form
    566.85/782.42 = 370.39/x
  3. Step 3: Cross multiply
    566.85x = 782.42 × 370.39
  4. Step 4: Simplify right side
    566.85x = 289,800.54
  5. Step 5: Solve for x
    x = 289,800.54/566.85
  6. Step 6: Final answer
    x = 511.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.