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Finding the Fourth Proportional to 525.83, 725.85 and 360.44

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Solution

The fourth proportional to 525.83, 725.85 and 360.44 is: 497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.83 : 725.85 = 360.44 : x
  2. Step 2: Convert to fraction form
    525.83/725.85 = 360.44/x
  3. Step 3: Cross multiply
    525.83x = 725.85 × 360.44
  4. Step 4: Simplify right side
    525.83x = 261,621.74
  5. Step 5: Solve for x
    x = 261,621.74/525.83
  6. Step 6: Final answer
    x = 497.55

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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.