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Finding the Fourth Proportional to 520.04, 717.64 and 298.96

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Solution

The fourth proportional to 520.04, 717.64 and 298.96 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.04 : 717.64 = 298.96 : x
  2. Step 2: Convert to fraction form
    520.04/717.64 = 298.96/x
  3. Step 3: Cross multiply
    520.04x = 717.64 × 298.96
  4. Step 4: Simplify right side
    520.04x = 214,545.65
  5. Step 5: Solve for x
    x = 214,545.65/520.04
  6. Step 6: Final answer
    x = 412.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.