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Finding the Fourth Proportional to 520.83, 778.94 and 463.45

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Solution

The fourth proportional to 520.83, 778.94 and 463.45 is: 693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.83 : 778.94 = 463.45 : x
  2. Step 2: Convert to fraction form
    520.83/778.94 = 463.45/x
  3. Step 3: Cross multiply
    520.83x = 778.94 × 463.45
  4. Step 4: Simplify right side
    520.83x = 360,999.74
  5. Step 5: Solve for x
    x = 360,999.74/520.83
  6. Step 6: Final answer
    x = 693.12

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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.