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Finding the Fourth Proportional to 597.41, 896.02 and 289.18

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Solution

The fourth proportional to 597.41, 896.02 and 289.18 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.41 : 896.02 = 289.18 : x
  2. Step 2: Convert to fraction form
    597.41/896.02 = 289.18/x
  3. Step 3: Cross multiply
    597.41x = 896.02 × 289.18
  4. Step 4: Simplify right side
    597.41x = 259,111.06
  5. Step 5: Solve for x
    x = 259,111.06/597.41
  6. Step 6: Final answer
    x = 433.72

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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.