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Finding the Fourth Proportional to 566.93, 782.26 and 357.14

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Solution

The fourth proportional to 566.93, 782.26 and 357.14 is: 492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.93 : 782.26 = 357.14 : x
  2. Step 2: Convert to fraction form
    566.93/782.26 = 357.14/x
  3. Step 3: Cross multiply
    566.93x = 782.26 × 357.14
  4. Step 4: Simplify right side
    566.93x = 279,377.40
  5. Step 5: Solve for x
    x = 279,377.40/566.93
  6. Step 6: Final answer
    x = 492.79

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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.