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Finding the Fourth Proportional to 525.18, 725.10 and 338.99

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Solution

The fourth proportional to 525.18, 725.10 and 338.99 is: 468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.18 : 725.10 = 338.99 : x
  2. Step 2: Convert to fraction form
    525.18/725.10 = 338.99/x
  3. Step 3: Cross multiply
    525.18x = 725.10 × 338.99
  4. Step 4: Simplify right side
    525.18x = 245,798.66
  5. Step 5: Solve for x
    x = 245,798.66/525.18
  6. Step 6: Final answer
    x = 468.02

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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.