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Finding the Fourth Proportional to 566.49, 782.16 and 504.23

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Solution

The fourth proportional to 566.49, 782.16 and 504.23 is: 696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 782.16 = 504.23 : x
  2. Step 2: Convert to fraction form
    566.49/782.16 = 504.23/x
  3. Step 3: Cross multiply
    566.49x = 782.16 × 504.23
  4. Step 4: Simplify right side
    566.49x = 394,382.74
  5. Step 5: Solve for x
    x = 394,382.74/566.49
  6. Step 6: Final answer
    x = 696.18

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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.