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Finding the Fourth Proportional to 597.90, 896.58 and 213.16

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Solution

The fourth proportional to 597.90, 896.58 and 213.16 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.90 : 896.58 = 213.16 : x
  2. Step 2: Convert to fraction form
    597.90/896.58 = 213.16/x
  3. Step 3: Cross multiply
    597.90x = 896.58 × 213.16
  4. Step 4: Simplify right side
    597.90x = 191,114.99
  5. Step 5: Solve for x
    x = 191,114.99/597.90
  6. Step 6: Final answer
    x = 319.64

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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.