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Finding the Fourth Proportional to 520.07, 780.13 and 211.77

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Solution

The fourth proportional to 520.07, 780.13 and 211.77 is: 317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.07 : 780.13 = 211.77 : x
  2. Step 2: Convert to fraction form
    520.07/780.13 = 211.77/x
  3. Step 3: Cross multiply
    520.07x = 780.13 × 211.77
  4. Step 4: Simplify right side
    520.07x = 165,208.13
  5. Step 5: Solve for x
    x = 165,208.13/520.07
  6. Step 6: Final answer
    x = 317.67

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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.