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Finding the Fourth Proportional to 587.60, 805.63 and 577.27

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Solution

The fourth proportional to 587.60, 805.63 and 577.27 is: 791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.60 : 805.63 = 577.27 : x
  2. Step 2: Convert to fraction form
    587.60/805.63 = 577.27/x
  3. Step 3: Cross multiply
    587.60x = 805.63 × 577.27
  4. Step 4: Simplify right side
    587.60x = 465,066.03
  5. Step 5: Solve for x
    x = 465,066.03/587.60
  6. Step 6: Final answer
    x = 791.47

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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.