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Finding the Fourth Proportional to 525.70, 725.28 and 304.60

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Solution

The fourth proportional to 525.70, 725.28 and 304.60 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.70 : 725.28 = 304.60 : x
  2. Step 2: Convert to fraction form
    525.70/725.28 = 304.60/x
  3. Step 3: Cross multiply
    525.70x = 725.28 × 304.60
  4. Step 4: Simplify right side
    525.70x = 220,920.29
  5. Step 5: Solve for x
    x = 220,920.29/525.70
  6. Step 6: Final answer
    x = 420.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.