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Finding the Fourth Proportional to 587.26, 805.16 and 577.72

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Solution

The fourth proportional to 587.26, 805.16 and 577.72 is: 792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.26 : 805.16 = 577.72 : x
  2. Step 2: Convert to fraction form
    587.26/805.16 = 577.72/x
  3. Step 3: Cross multiply
    587.26x = 805.16 × 577.72
  4. Step 4: Simplify right side
    587.26x = 465,157.04
  5. Step 5: Solve for x
    x = 465,157.04/587.26
  6. Step 6: Final answer
    x = 792.08

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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.