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Finding the Fourth Proportional to 520.93, 780.74 and 228.08

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Solution

The fourth proportional to 520.93, 780.74 and 228.08 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.93 : 780.74 = 228.08 : x
  2. Step 2: Convert to fraction form
    520.93/780.74 = 228.08/x
  3. Step 3: Cross multiply
    520.93x = 780.74 × 228.08
  4. Step 4: Simplify right side
    520.93x = 178,072.85
  5. Step 5: Solve for x
    x = 178,072.85/520.93
  6. Step 6: Final answer
    x = 341.84

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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.