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Finding the Fourth Proportional to 514.09, 709.49 and 292.99

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Solution

The fourth proportional to 514.09, 709.49 and 292.99 is: 404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.09 : 709.49 = 292.99 : x
  2. Step 2: Convert to fraction form
    514.09/709.49 = 292.99/x
  3. Step 3: Cross multiply
    514.09x = 709.49 × 292.99
  4. Step 4: Simplify right side
    514.09x = 207,873.45
  5. Step 5: Solve for x
    x = 207,873.45/514.09
  6. Step 6: Final answer
    x = 404.35

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