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Finding the Fourth Proportional to 525.83, 725.63 and 289.76

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Solution

The fourth proportional to 525.83, 725.63 and 289.76 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.83 : 725.63 = 289.76 : x
  2. Step 2: Convert to fraction form
    525.83/725.63 = 289.76/x
  3. Step 3: Cross multiply
    525.83x = 725.63 × 289.76
  4. Step 4: Simplify right side
    525.83x = 210,253.47
  5. Step 5: Solve for x
    x = 210,253.47/525.83
  6. Step 6: Final answer
    x = 399.85

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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.