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Finding the Fourth Proportional to 525.58, 725.27 and 289.51

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Solution

The fourth proportional to 525.58, 725.27 and 289.51 is: 399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.58 : 725.27 = 289.51 : x
  2. Step 2: Convert to fraction form
    525.58/725.27 = 289.51/x
  3. Step 3: Cross multiply
    525.58x = 725.27 × 289.51
  4. Step 4: Simplify right side
    525.58x = 209,969.66
  5. Step 5: Solve for x
    x = 209,969.66/525.58
  6. Step 6: Final answer
    x = 399.50

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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.