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Finding the Fourth Proportional to 525.84, 725.64 and 289.78

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Solution

The fourth proportional to 525.84, 725.64 and 289.78 is: 399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.84 : 725.64 = 289.78 : x
  2. Step 2: Convert to fraction form
    525.84/725.64 = 289.78/x
  3. Step 3: Cross multiply
    525.84x = 725.64 × 289.78
  4. Step 4: Simplify right side
    525.84x = 210,274.69
  5. Step 5: Solve for x
    x = 210,274.69/525.84
  6. Step 6: Final answer
    x = 399.88

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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.