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Finding the Fourth Proportional to 566.46, 780.59 and 408.83

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Solution

The fourth proportional to 566.46, 780.59 and 408.83 is: 563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 780.59 = 408.83 : x
  2. Step 2: Convert to fraction form
    566.46/780.59 = 408.83/x
  3. Step 3: Cross multiply
    566.46x = 780.59 × 408.83
  4. Step 4: Simplify right side
    566.46x = 319,125.73
  5. Step 5: Solve for x
    x = 319,125.73/566.46
  6. Step 6: Final answer
    x = 563.37

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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.