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Finding the Fourth Proportional to 575.01, 788.27 and 566.46

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Solution

The fourth proportional to 575.01, 788.27 and 566.46 is: 776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.01 : 788.27 = 566.46 : x
  2. Step 2: Convert to fraction form
    575.01/788.27 = 566.46/x
  3. Step 3: Cross multiply
    575.01x = 788.27 × 566.46
  4. Step 4: Simplify right side
    575.01x = 446,520.59
  5. Step 5: Solve for x
    x = 446,520.59/575.01
  6. Step 6: Final answer
    x = 776.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.