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Finding the Fourth Proportional to 598.21, 896.78 and 354.94

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Solution

The fourth proportional to 598.21, 896.78 and 354.94 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.21 : 896.78 = 354.94 : x
  2. Step 2: Convert to fraction form
    598.21/896.78 = 354.94/x
  3. Step 3: Cross multiply
    598.21x = 896.78 × 354.94
  4. Step 4: Simplify right side
    598.21x = 318,301.32
  5. Step 5: Solve for x
    x = 318,301.32/598.21
  6. Step 6: Final answer
    x = 532.09

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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.