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Finding the Fourth Proportional to 598.46, 896.99 and 392.99

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Solution

The fourth proportional to 598.46, 896.99 and 392.99 is: 589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.46 : 896.99 = 392.99 : x
  2. Step 2: Convert to fraction form
    598.46/896.99 = 392.99/x
  3. Step 3: Cross multiply
    598.46x = 896.99 × 392.99
  4. Step 4: Simplify right side
    598.46x = 352,501.65
  5. Step 5: Solve for x
    x = 352,501.65/598.46
  6. Step 6: Final answer
    x = 589.02

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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.