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Finding the Fourth Proportional to 587.37, 810.12 and 365.91

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Solution

The fourth proportional to 587.37, 810.12 and 365.91 is: 504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.37 : 810.12 = 365.91 : x
  2. Step 2: Convert to fraction form
    587.37/810.12 = 365.91/x
  3. Step 3: Cross multiply
    587.37x = 810.12 × 365.91
  4. Step 4: Simplify right side
    587.37x = 296,431.01
  5. Step 5: Solve for x
    x = 296,431.01/587.37
  6. Step 6: Final answer
    x = 504.68

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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.