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Finding the Fourth Proportional to 587.46, 810.72 and 366.24

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Solution

The fourth proportional to 587.46, 810.72 and 366.24 is: 505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.46 : 810.72 = 366.24 : x
  2. Step 2: Convert to fraction form
    587.46/810.72 = 366.24/x
  3. Step 3: Cross multiply
    587.46x = 810.72 × 366.24
  4. Step 4: Simplify right side
    587.46x = 296,918.09
  5. Step 5: Solve for x
    x = 296,918.09/587.46
  6. Step 6: Final answer
    x = 505.43

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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.