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Finding the Fourth Proportional to 524.48, 786.42 and 360.23

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Solution

The fourth proportional to 524.48, 786.42 and 360.23 is: 540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 786.42 = 360.23 : x
  2. Step 2: Convert to fraction form
    524.48/786.42 = 360.23/x
  3. Step 3: Cross multiply
    524.48x = 786.42 × 360.23
  4. Step 4: Simplify right side
    524.48x = 283,288.14
  5. Step 5: Solve for x
    x = 283,288.14/524.48
  6. Step 6: Final answer
    x = 540.14

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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.