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Finding the Fourth Proportional to 599.91, 828.02 and 403.99

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Solution

The fourth proportional to 599.91, 828.02 and 403.99 is: 557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.91 : 828.02 = 403.99 : x
  2. Step 2: Convert to fraction form
    599.91/828.02 = 403.99/x
  3. Step 3: Cross multiply
    599.91x = 828.02 × 403.99
  4. Step 4: Simplify right side
    599.91x = 334,510.74
  5. Step 5: Solve for x
    x = 334,510.74/599.91
  6. Step 6: Final answer
    x = 557.61

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Why These Related Problems?

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