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Finding the Fourth Proportional to 566.65, 782.14 and 356.72

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Solution

The fourth proportional to 566.65, 782.14 and 356.72 is: 492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.65 : 782.14 = 356.72 : x
  2. Step 2: Convert to fraction form
    566.65/782.14 = 356.72/x
  3. Step 3: Cross multiply
    566.65x = 782.14 × 356.72
  4. Step 4: Simplify right side
    566.65x = 279,004.98
  5. Step 5: Solve for x
    x = 279,004.98/566.65
  6. Step 6: Final answer
    x = 492.38

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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.