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Finding the Fourth Proportional to 520.08, 717.84 and 380.40

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Solution

The fourth proportional to 520.08, 717.84 and 380.40 is: 525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.08 : 717.84 = 380.40 : x
  2. Step 2: Convert to fraction form
    520.08/717.84 = 380.40/x
  3. Step 3: Cross multiply
    520.08x = 717.84 × 380.40
  4. Step 4: Simplify right side
    520.08x = 273,066.34
  5. Step 5: Solve for x
    x = 273,066.34/520.08
  6. Step 6: Final answer
    x = 525.05

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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.