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Finding the Fourth Proportional to 525.13, 724.26 and 367.69

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Solution

The fourth proportional to 525.13, 724.26 and 367.69 is: 507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.13 : 724.26 = 367.69 : x
  2. Step 2: Convert to fraction form
    525.13/724.26 = 367.69/x
  3. Step 3: Cross multiply
    525.13x = 724.26 × 367.69
  4. Step 4: Simplify right side
    525.13x = 266,303.16
  5. Step 5: Solve for x
    x = 266,303.16/525.13
  6. Step 6: Final answer
    x = 507.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.