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Finding the Fourth Proportional to 599.10, 899.13 and 214.62

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Solution

The fourth proportional to 599.10, 899.13 and 214.62 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.10 : 899.13 = 214.62 : x
  2. Step 2: Convert to fraction form
    599.10/899.13 = 214.62/x
  3. Step 3: Cross multiply
    599.10x = 899.13 × 214.62
  4. Step 4: Simplify right side
    599.10x = 192,971.28
  5. Step 5: Solve for x
    x = 192,971.28/599.10
  6. Step 6: Final answer
    x = 322.10

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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.