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Finding the Fourth Proportional to 524.33, 785.75 and 386.29

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Solution

The fourth proportional to 524.33, 785.75 and 386.29 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.33 : 785.75 = 386.29 : x
  2. Step 2: Convert to fraction form
    524.33/785.75 = 386.29/x
  3. Step 3: Cross multiply
    524.33x = 785.75 × 386.29
  4. Step 4: Simplify right side
    524.33x = 303,527.37
  5. Step 5: Solve for x
    x = 303,527.37/524.33
  6. Step 6: Final answer
    x = 578.89

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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.