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Finding the Fourth Proportional to 525.68, 725.45 and 289.64

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Solution

The fourth proportional to 525.68, 725.45 and 289.64 is: 399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.68 : 725.45 = 289.64 : x
  2. Step 2: Convert to fraction form
    525.68/725.45 = 289.64/x
  3. Step 3: Cross multiply
    525.68x = 725.45 × 289.64
  4. Step 4: Simplify right side
    525.68x = 210,114.26
  5. Step 5: Solve for x
    x = 210,114.26/525.68
  6. Step 6: Final answer
    x = 399.70

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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.