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Finding the Fourth Proportional to 587.20, 810.41 and 366.07

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Solution

The fourth proportional to 587.20, 810.41 and 366.07 is: 505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.20 : 810.41 = 366.07 : x
  2. Step 2: Convert to fraction form
    587.20/810.41 = 366.07/x
  3. Step 3: Cross multiply
    587.20x = 810.41 × 366.07
  4. Step 4: Simplify right side
    587.20x = 296,664.45
  5. Step 5: Solve for x
    x = 296,664.45/587.20
  6. Step 6: Final answer
    x = 505.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.