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Finding the Fourth Proportional to 520.59, 780.35 and 338.34

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Solution

The fourth proportional to 520.59, 780.35 and 338.34 is: 507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.59 : 780.35 = 338.34 : x
  2. Step 2: Convert to fraction form
    520.59/780.35 = 338.34/x
  3. Step 3: Cross multiply
    520.59x = 780.35 × 338.34
  4. Step 4: Simplify right side
    520.59x = 264,021.93
  5. Step 5: Solve for x
    x = 264,021.93/520.59
  6. Step 6: Final answer
    x = 507.16

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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.