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Finding the Fourth Proportional to 525.87, 725.85 and 475.77

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Solution

The fourth proportional to 525.87, 725.85 and 475.77 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 725.85 = 475.77 : x
  2. Step 2: Convert to fraction form
    525.87/725.85 = 475.77/x
  3. Step 3: Cross multiply
    525.87x = 725.85 × 475.77
  4. Step 4: Simplify right side
    525.87x = 345,337.65
  5. Step 5: Solve for x
    x = 345,337.65/525.87
  6. Step 6: Final answer
    x = 656.70

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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.