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Finding the Fourth Proportional to 566.74, 782.10 and 401.24

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Solution

The fourth proportional to 566.74, 782.10 and 401.24 is: 553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.74 : 782.10 = 401.24 : x
  2. Step 2: Convert to fraction form
    566.74/782.10 = 401.24/x
  3. Step 3: Cross multiply
    566.74x = 782.10 × 401.24
  4. Step 4: Simplify right side
    566.74x = 313,809.80
  5. Step 5: Solve for x
    x = 313,809.80/566.74
  6. Step 6: Final answer
    x = 553.71

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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.