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Finding the Fourth Proportional to 566, 780.80 and 369.60

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Solution

The fourth proportional to 566, 780.80 and 369.60 is: 509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566 : 780.80 = 369.60 : x
  2. Step 2: Convert to fraction form
    566/780.80 = 369.60/x
  3. Step 3: Cross multiply
    566x = 780.80 × 369.60
  4. Step 4: Simplify right side
    566x = 288,583.68
  5. Step 5: Solve for x
    x = 288,583.68/566
  6. Step 6: Final answer
    x = 509.87

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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.