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Finding the Fourth Proportional to 566.69, 782.08 and 345.69

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Solution

The fourth proportional to 566.69, 782.08 and 345.69 is: 477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.69 : 782.08 = 345.69 : x
  2. Step 2: Convert to fraction form
    566.69/782.08 = 345.69/x
  3. Step 3: Cross multiply
    566.69x = 782.08 × 345.69
  4. Step 4: Simplify right side
    566.69x = 270,356.37
  5. Step 5: Solve for x
    x = 270,356.37/566.69
  6. Step 6: Final answer
    x = 477.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.