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Finding the Fourth Proportional to 566.88, 782.24 and 345.75

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Solution

The fourth proportional to 566.88, 782.24 and 345.75 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.88 : 782.24 = 345.75 : x
  2. Step 2: Convert to fraction form
    566.88/782.24 = 345.75/x
  3. Step 3: Cross multiply
    566.88x = 782.24 × 345.75
  4. Step 4: Simplify right side
    566.88x = 270,457.75
  5. Step 5: Solve for x
    x = 270,457.75/566.88
  6. Step 6: Final answer
    x = 477.10

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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.