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Finding the Fourth Proportional to 566.69, 782.05 and 345.61

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Solution

The fourth proportional to 566.69, 782.05 and 345.61 is: 476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.69 : 782.05 = 345.61 : x
  2. Step 2: Convert to fraction form
    566.69/782.05 = 345.61/x
  3. Step 3: Cross multiply
    566.69x = 782.05 × 345.61
  4. Step 4: Simplify right side
    566.69x = 270,281.48
  5. Step 5: Solve for x
    x = 270,281.48/566.69
  6. Step 6: Final answer
    x = 476.95

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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.