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Finding the Fourth Proportional to 526.16, 789.56 and 298.32

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Solution

The fourth proportional to 526.16, 789.56 and 298.32 is: 447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.16 : 789.56 = 298.32 : x
  2. Step 2: Convert to fraction form
    526.16/789.56 = 298.32/x
  3. Step 3: Cross multiply
    526.16x = 789.56 × 298.32
  4. Step 4: Simplify right side
    526.16x = 235,541.54
  5. Step 5: Solve for x
    x = 235,541.54/526.16
  6. Step 6: Final answer
    x = 447.66

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Why These Related Problems?

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