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Finding the Fourth Proportional to 520.64, 780.90 and 178.64

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Solution

The fourth proportional to 520.64, 780.90 and 178.64 is: 267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.64 : 780.90 = 178.64 : x
  2. Step 2: Convert to fraction form
    520.64/780.90 = 178.64/x
  3. Step 3: Cross multiply
    520.64x = 780.90 × 178.64
  4. Step 4: Simplify right side
    520.64x = 139,499.98
  5. Step 5: Solve for x
    x = 139,499.98/520.64
  6. Step 6: Final answer
    x = 267.94

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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.