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Finding the Fourth Proportional to 520.93, 780.85 and 358.66

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Solution

The fourth proportional to 520.93, 780.85 and 358.66 is: 537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.93 : 780.85 = 358.66 : x
  2. Step 2: Convert to fraction form
    520.93/780.85 = 358.66/x
  3. Step 3: Cross multiply
    520.93x = 780.85 × 358.66
  4. Step 4: Simplify right side
    520.93x = 280,059.66
  5. Step 5: Solve for x
    x = 280,059.66/520.93
  6. Step 6: Final answer
    x = 537.61

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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.