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Finding the Fourth Proportional to 525.94, 725.70 and 304.84

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Solution

The fourth proportional to 525.94, 725.70 and 304.84 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.94 : 725.70 = 304.84 : x
  2. Step 2: Convert to fraction form
    525.94/725.70 = 304.84/x
  3. Step 3: Cross multiply
    525.94x = 725.70 × 304.84
  4. Step 4: Simplify right side
    525.94x = 221,222.39
  5. Step 5: Solve for x
    x = 221,222.39/525.94
  6. Step 6: Final answer
    x = 420.62

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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.