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Finding the Fourth Proportional to 606.30, 907.86 and 520.20

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Solution

The fourth proportional to 606.30, 907.86 and 520.20 is: 778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.30 : 907.86 = 520.20 : x
  2. Step 2: Convert to fraction form
    606.30/907.86 = 520.20/x
  3. Step 3: Cross multiply
    606.30x = 907.86 × 520.20
  4. Step 4: Simplify right side
    606.30x = 472,268.77
  5. Step 5: Solve for x
    x = 472,268.77/606.30
  6. Step 6: Final answer
    x = 778.94

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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.