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Finding the Fourth Proportional to 525.24, 724.82 and 304.04

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Solution

The fourth proportional to 525.24, 724.82 and 304.04 is: 419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.24 : 724.82 = 304.04 : x
  2. Step 2: Convert to fraction form
    525.24/724.82 = 304.04/x
  3. Step 3: Cross multiply
    525.24x = 724.82 × 304.04
  4. Step 4: Simplify right side
    525.24x = 220,374.56
  5. Step 5: Solve for x
    x = 220,374.56/525.24
  6. Step 6: Final answer
    x = 419.57

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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.