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Finding the Fourth Proportional to 597.91, 896.70 and 424.07

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Solution

The fourth proportional to 597.91, 896.70 and 424.07 is: 635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.91 : 896.70 = 424.07 : x
  2. Step 2: Convert to fraction form
    597.91/896.70 = 424.07/x
  3. Step 3: Cross multiply
    597.91x = 896.70 × 424.07
  4. Step 4: Simplify right side
    597.91x = 380,259.09
  5. Step 5: Solve for x
    x = 380,259.09/597.91
  6. Step 6: Final answer
    x = 635.98

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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.