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Finding the Fourth Proportional to 525.06, 724.65 and 348.06

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Solution

The fourth proportional to 525.06, 724.65 and 348.06 is: 480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.06 : 724.65 = 348.06 : x
  2. Step 2: Convert to fraction form
    525.06/724.65 = 348.06/x
  3. Step 3: Cross multiply
    525.06x = 724.65 × 348.06
  4. Step 4: Simplify right side
    525.06x = 252,221.68
  5. Step 5: Solve for x
    x = 252,221.68/525.06
  6. Step 6: Final answer
    x = 480.37

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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.