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Finding the Fourth Proportional to 525.95, 725.87 and 360.04

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Solution

The fourth proportional to 525.95, 725.87 and 360.04 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.95 : 725.87 = 360.04 : x
  2. Step 2: Convert to fraction form
    525.95/725.87 = 360.04/x
  3. Step 3: Cross multiply
    525.95x = 725.87 × 360.04
  4. Step 4: Simplify right side
    525.95x = 261,342.23
  5. Step 5: Solve for x
    x = 261,342.23/525.95
  6. Step 6: Final answer
    x = 496.90

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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.