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Finding the Fourth Proportional to 587.87, 810.26 and 446.03

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Solution

The fourth proportional to 587.87, 810.26 and 446.03 is: 614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.87 : 810.26 = 446.03 : x
  2. Step 2: Convert to fraction form
    587.87/810.26 = 446.03/x
  3. Step 3: Cross multiply
    587.87x = 810.26 × 446.03
  4. Step 4: Simplify right side
    587.87x = 361,393.99
  5. Step 5: Solve for x
    x = 361,393.99/587.87
  6. Step 6: Final answer
    x = 614.76

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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.