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Finding the Fourth Proportional to 520.59, 778.74 and 474.97

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Solution

The fourth proportional to 520.59, 778.74 and 474.97 is: 710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.59 : 778.74 = 474.97 : x
  2. Step 2: Convert to fraction form
    520.59/778.74 = 474.97/x
  3. Step 3: Cross multiply
    520.59x = 778.74 × 474.97
  4. Step 4: Simplify right side
    520.59x = 369,878.14
  5. Step 5: Solve for x
    x = 369,878.14/520.59
  6. Step 6: Final answer
    x = 710.50

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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.