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Finding the Fourth Proportional to 599.70, 899.82 and 291.85

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Solution

The fourth proportional to 599.70, 899.82 and 291.85 is: 437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 899.82 = 291.85 : x
  2. Step 2: Convert to fraction form
    599.70/899.82 = 291.85/x
  3. Step 3: Cross multiply
    599.70x = 899.82 × 291.85
  4. Step 4: Simplify right side
    599.70x = 262,612.47
  5. Step 5: Solve for x
    x = 262,612.47/599.70
  6. Step 6: Final answer
    x = 437.91

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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.