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Finding the Fourth Proportional to 587.84, 810.85 and 378.29

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Solution

The fourth proportional to 587.84, 810.85 and 378.29 is: 521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.84 : 810.85 = 378.29 : x
  2. Step 2: Convert to fraction form
    587.84/810.85 = 378.29/x
  3. Step 3: Cross multiply
    587.84x = 810.85 × 378.29
  4. Step 4: Simplify right side
    587.84x = 306,736.45
  5. Step 5: Solve for x
    x = 306,736.45/587.84
  6. Step 6: Final answer
    x = 521.80

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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.