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Finding the Fourth Proportional to 587.24, 810.54 and 366.05

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Solution

The fourth proportional to 587.24, 810.54 and 366.05 is: 505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.24 : 810.54 = 366.05 : x
  2. Step 2: Convert to fraction form
    587.24/810.54 = 366.05/x
  3. Step 3: Cross multiply
    587.24x = 810.54 × 366.05
  4. Step 4: Simplify right side
    587.24x = 296,694.11
  5. Step 5: Solve for x
    x = 296,694.11/587.24
  6. Step 6: Final answer
    x = 505.24

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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.