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Finding the Fourth Proportional to 599.84, 828 and 459.94

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Solution

The fourth proportional to 599.84, 828 and 459.94 is: 634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 828 = 459.94 : x
  2. Step 2: Convert to fraction form
    599.84/828 = 459.94/x
  3. Step 3: Cross multiply
    599.84x = 828 × 459.94
  4. Step 4: Simplify right side
    599.84x = 380,830.32
  5. Step 5: Solve for x
    x = 380,830.32/599.84
  6. Step 6: Final answer
    x = 634.89

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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.