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Finding the Fourth Proportional to 566.82, 780.80 and 484.20

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Solution

The fourth proportional to 566.82, 780.80 and 484.20 is: 666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 780.80 = 484.20 : x
  2. Step 2: Convert to fraction form
    566.82/780.80 = 484.20/x
  3. Step 3: Cross multiply
    566.82x = 780.80 × 484.20
  4. Step 4: Simplify right side
    566.82x = 378,063.36
  5. Step 5: Solve for x
    x = 378,063.36/566.82
  6. Step 6: Final answer
    x = 666.99

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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.