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Finding the Fourth Proportional to 525.61, 725.65 and 348.81

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Solution

The fourth proportional to 525.61, 725.65 and 348.81 is: 481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.61 : 725.65 = 348.81 : x
  2. Step 2: Convert to fraction form
    525.61/725.65 = 348.81/x
  3. Step 3: Cross multiply
    525.61x = 725.65 × 348.81
  4. Step 4: Simplify right side
    525.61x = 253,113.98
  5. Step 5: Solve for x
    x = 253,113.98/525.61
  6. Step 6: Final answer
    x = 481.56

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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.