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Finding the Fourth Proportional to 525.80, 730.99 and 525.80

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Solution

The fourth proportional to 525.80, 730.99 and 525.80 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 730.99 = 525.80 : x
  2. Step 2: Convert to fraction form
    525.80/730.99 = 525.80/x
  3. Step 3: Cross multiply
    525.80x = 730.99 × 525.80
  4. Step 4: Simplify right side
    525.80x = 384,354.54
  5. Step 5: Solve for x
    x = 384,354.54/525.80
  6. Step 6: Final answer
    x = 730.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.