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Finding the Fourth Proportional to 525.36, 724.29 and 367.78

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Solution

The fourth proportional to 525.36, 724.29 and 367.78 is: 507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.36 : 724.29 = 367.78 : x
  2. Step 2: Convert to fraction form
    525.36/724.29 = 367.78/x
  3. Step 3: Cross multiply
    525.36x = 724.29 × 367.78
  4. Step 4: Simplify right side
    525.36x = 266,379.38
  5. Step 5: Solve for x
    x = 266,379.38/525.36
  6. Step 6: Final answer
    x = 507.04

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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.