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Finding the Fourth Proportional to 566.69, 782.00 and 314.60

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Solution

The fourth proportional to 566.69, 782.00 and 314.60 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.69 : 782.00 = 314.60 : x
  2. Step 2: Convert to fraction form
    566.69/782.00 = 314.60/x
  3. Step 3: Cross multiply
    566.69x = 782.00 × 314.60
  4. Step 4: Simplify right side
    566.69x = 246,019.94
  5. Step 5: Solve for x
    x = 246,019.94/566.69
  6. Step 6: Final answer
    x = 434.14

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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.