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Finding the Fourth Proportional to 520.29, 779.95 and 337.14

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Solution

The fourth proportional to 520.29, 779.95 and 337.14 is: 505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.29 : 779.95 = 337.14 : x
  2. Step 2: Convert to fraction form
    520.29/779.95 = 337.14/x
  3. Step 3: Cross multiply
    520.29x = 779.95 × 337.14
  4. Step 4: Simplify right side
    520.29x = 262,952.34
  5. Step 5: Solve for x
    x = 262,952.34/520.29
  6. Step 6: Final answer
    x = 505.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.