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Finding the Fourth Proportional to 525.14, 724.71 and 304.17

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Solution

The fourth proportional to 525.14, 724.71 and 304.17 is: 419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.14 : 724.71 = 304.17 : x
  2. Step 2: Convert to fraction form
    525.14/724.71 = 304.17/x
  3. Step 3: Cross multiply
    525.14x = 724.71 × 304.17
  4. Step 4: Simplify right side
    525.14x = 220,435.04
  5. Step 5: Solve for x
    x = 220,435.04/525.14
  6. Step 6: Final answer
    x = 419.76

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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.