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Finding the Fourth Proportional to 524.67, 788.21 and 378.87

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Solution

The fourth proportional to 524.67, 788.21 and 378.87 is: 569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.67 : 788.21 = 378.87 : x
  2. Step 2: Convert to fraction form
    524.67/788.21 = 378.87/x
  3. Step 3: Cross multiply
    524.67x = 788.21 × 378.87
  4. Step 4: Simplify right side
    524.67x = 298,629.12
  5. Step 5: Solve for x
    x = 298,629.12/524.67
  6. Step 6: Final answer
    x = 569.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.