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Finding the Fourth Proportional to 524.38, 785.16 and 386.38

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Solution

The fourth proportional to 524.38, 785.16 and 386.38 is: 578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 785.16 = 386.38 : x
  2. Step 2: Convert to fraction form
    524.38/785.16 = 386.38/x
  3. Step 3: Cross multiply
    524.38x = 785.16 × 386.38
  4. Step 4: Simplify right side
    524.38x = 303,370.12
  5. Step 5: Solve for x
    x = 303,370.12/524.38
  6. Step 6: Final answer
    x = 578.53

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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.