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Finding the Fourth Proportional to 525.23, 725.10 and 359.65

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Solution

The fourth proportional to 525.23, 725.10 and 359.65 is: 496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.23 : 725.10 = 359.65 : x
  2. Step 2: Convert to fraction form
    525.23/725.10 = 359.65/x
  3. Step 3: Cross multiply
    525.23x = 725.10 × 359.65
  4. Step 4: Simplify right side
    525.23x = 260,782.22
  5. Step 5: Solve for x
    x = 260,782.22/525.23
  6. Step 6: Final answer
    x = 496.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.