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Finding the Fourth Proportional to 526.68, 789.88 and 320.54

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Solution

The fourth proportional to 526.68, 789.88 and 320.54 is: 480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 789.88 = 320.54 : x
  2. Step 2: Convert to fraction form
    526.68/789.88 = 320.54/x
  3. Step 3: Cross multiply
    526.68x = 789.88 × 320.54
  4. Step 4: Simplify right side
    526.68x = 253,188.14
  5. Step 5: Solve for x
    x = 253,188.14/526.68
  6. Step 6: Final answer
    x = 480.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.