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Finding the Fourth Proportional to 525.52, 725.22 and 289.47

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Solution

The fourth proportional to 525.52, 725.22 and 289.47 is: 399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.52 : 725.22 = 289.47 : x
  2. Step 2: Convert to fraction form
    525.52/725.22 = 289.47/x
  3. Step 3: Cross multiply
    525.52x = 725.22 × 289.47
  4. Step 4: Simplify right side
    525.52x = 209,925.45
  5. Step 5: Solve for x
    x = 209,925.45/525.52
  6. Step 6: Final answer
    x = 399.46

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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.