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Finding the Fourth Proportional to 566.80, 782.16 and 356.91

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Solution

The fourth proportional to 566.80, 782.16 and 356.91 is: 492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 782.16 = 356.91 : x
  2. Step 2: Convert to fraction form
    566.80/782.16 = 356.91/x
  3. Step 3: Cross multiply
    566.80x = 782.16 × 356.91
  4. Step 4: Simplify right side
    566.80x = 279,156.45
  5. Step 5: Solve for x
    x = 279,156.45/566.80
  6. Step 6: Final answer
    x = 492.52

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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.