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Finding the Fourth Proportional to 599.93, 899.46 and 188.84

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Solution

The fourth proportional to 599.93, 899.46 and 188.84 is: 283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.93 : 899.46 = 188.84 : x
  2. Step 2: Convert to fraction form
    599.93/899.46 = 188.84/x
  3. Step 3: Cross multiply
    599.93x = 899.46 × 188.84
  4. Step 4: Simplify right side
    599.93x = 169,854.03
  5. Step 5: Solve for x
    x = 169,854.03/599.93
  6. Step 6: Final answer
    x = 283.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.