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Finding the Fourth Proportional to 596.99, 824.14 and 398.15

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Solution

The fourth proportional to 596.99, 824.14 and 398.15 is: 549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.99 : 824.14 = 398.15 : x
  2. Step 2: Convert to fraction form
    596.99/824.14 = 398.15/x
  3. Step 3: Cross multiply
    596.99x = 824.14 × 398.15
  4. Step 4: Simplify right side
    596.99x = 328,131.34
  5. Step 5: Solve for x
    x = 328,131.34/596.99
  6. Step 6: Final answer
    x = 549.64

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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.