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Finding the Fourth Proportional to 526.92, 789.57 and 295.53

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Solution

The fourth proportional to 526.92, 789.57 and 295.53 is: 442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 789.57 = 295.53 : x
  2. Step 2: Convert to fraction form
    526.92/789.57 = 295.53/x
  3. Step 3: Cross multiply
    526.92x = 789.57 × 295.53
  4. Step 4: Simplify right side
    526.92x = 233,341.62
  5. Step 5: Solve for x
    x = 233,341.62/526.92
  6. Step 6: Final answer
    x = 442.84

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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.