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Finding the Fourth Proportional to 525.24, 724.83 and 289.21

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Solution

The fourth proportional to 525.24, 724.83 and 289.21 is: 399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.24 : 724.83 = 289.21 : x
  2. Step 2: Convert to fraction form
    525.24/724.83 = 289.21/x
  3. Step 3: Cross multiply
    525.24x = 724.83 × 289.21
  4. Step 4: Simplify right side
    525.24x = 209,623.01
  5. Step 5: Solve for x
    x = 209,623.01/525.24
  6. Step 6: Final answer
    x = 399.10

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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.