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Finding the Fourth Proportional to 598.39, 896.06 and 353.77

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Solution

The fourth proportional to 598.39, 896.06 and 353.77 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.39 : 896.06 = 353.77 : x
  2. Step 2: Convert to fraction form
    598.39/896.06 = 353.77/x
  3. Step 3: Cross multiply
    598.39x = 896.06 × 353.77
  4. Step 4: Simplify right side
    598.39x = 316,997.79
  5. Step 5: Solve for x
    x = 316,997.79/598.39
  6. Step 6: Final answer
    x = 529.75

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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.