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Finding the Fourth Proportional to 597.79, 896.01 and 324.01

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Solution

The fourth proportional to 597.79, 896.01 and 324.01 is: 485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 896.01 = 324.01 : x
  2. Step 2: Convert to fraction form
    597.79/896.01 = 324.01/x
  3. Step 3: Cross multiply
    597.79x = 896.01 × 324.01
  4. Step 4: Simplify right side
    597.79x = 290,316.20
  5. Step 5: Solve for x
    x = 290,316.20/597.79
  6. Step 6: Final answer
    x = 485.65

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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.