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Finding the Fourth Proportional to 515.84, 711.95 and 397.99

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Solution

The fourth proportional to 515.84, 711.95 and 397.99 is: 549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 711.95 = 397.99 : x
  2. Step 2: Convert to fraction form
    515.84/711.95 = 397.99/x
  3. Step 3: Cross multiply
    515.84x = 711.95 × 397.99
  4. Step 4: Simplify right side
    515.84x = 283,345.21
  5. Step 5: Solve for x
    x = 283,345.21/515.84
  6. Step 6: Final answer
    x = 549.29

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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.