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Finding the Fourth Proportional to 597.17, 894.89 and 424.18

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Solution

The fourth proportional to 597.17, 894.89 and 424.18 is: 635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 894.89 = 424.18 : x
  2. Step 2: Convert to fraction form
    597.17/894.89 = 424.18/x
  3. Step 3: Cross multiply
    597.17x = 894.89 × 424.18
  4. Step 4: Simplify right side
    597.17x = 379,589.20
  5. Step 5: Solve for x
    x = 379,589.20/597.17
  6. Step 6: Final answer
    x = 635.64

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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.