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Finding the Fourth Proportional to 566.96, 782.34 and 345.86

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Solution

The fourth proportional to 566.96, 782.34 and 345.86 is: 477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.96 : 782.34 = 345.86 : x
  2. Step 2: Convert to fraction form
    566.96/782.34 = 345.86/x
  3. Step 3: Cross multiply
    566.96x = 782.34 × 345.86
  4. Step 4: Simplify right side
    566.96x = 270,580.11
  5. Step 5: Solve for x
    x = 270,580.11/566.96
  6. Step 6: Final answer
    x = 477.25

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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.