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Finding the Fourth Proportional to 566.72, 782.56 and 419.60

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Solution

The fourth proportional to 566.72, 782.56 and 419.60 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.72 : 782.56 = 419.60 : x
  2. Step 2: Convert to fraction form
    566.72/782.56 = 419.60/x
  3. Step 3: Cross multiply
    566.72x = 782.56 × 419.60
  4. Step 4: Simplify right side
    566.72x = 328,362.18
  5. Step 5: Solve for x
    x = 328,362.18/566.72
  6. Step 6: Final answer
    x = 579.41

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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.