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Finding the Fourth Proportional to 599.68, 899.93 and 311.32

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Solution

The fourth proportional to 599.68, 899.93 and 311.32 is: 467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.68 : 899.93 = 311.32 : x
  2. Step 2: Convert to fraction form
    599.68/899.93 = 311.32/x
  3. Step 3: Cross multiply
    599.68x = 899.93 × 311.32
  4. Step 4: Simplify right side
    599.68x = 280,166.21
  5. Step 5: Solve for x
    x = 280,166.21/599.68
  6. Step 6: Final answer
    x = 467.19

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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.