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Finding the Fourth Proportional to 525.09, 724.62 and 304.09

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Solution

The fourth proportional to 525.09, 724.62 and 304.09 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.09 : 724.62 = 304.09 : x
  2. Step 2: Convert to fraction form
    525.09/724.62 = 304.09/x
  3. Step 3: Cross multiply
    525.09x = 724.62 × 304.09
  4. Step 4: Simplify right side
    525.09x = 220,349.70
  5. Step 5: Solve for x
    x = 220,349.70/525.09
  6. Step 6: Final answer
    x = 419.64

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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.