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Finding the Fourth Proportional to 587.16, 810.24 and 380.16

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Solution

The fourth proportional to 587.16, 810.24 and 380.16 is: 524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.16 : 810.24 = 380.16 : x
  2. Step 2: Convert to fraction form
    587.16/810.24 = 380.16/x
  3. Step 3: Cross multiply
    587.16x = 810.24 × 380.16
  4. Step 4: Simplify right side
    587.16x = 308,020.84
  5. Step 5: Solve for x
    x = 308,020.84/587.16
  6. Step 6: Final answer
    x = 524.59

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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.