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Finding the Fourth Proportional to 598.11, 896.02 and 467.50

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Solution

The fourth proportional to 598.11, 896.02 and 467.50 is: 700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.11 : 896.02 = 467.50 : x
  2. Step 2: Convert to fraction form
    598.11/896.02 = 467.50/x
  3. Step 3: Cross multiply
    598.11x = 896.02 × 467.50
  4. Step 4: Simplify right side
    598.11x = 418,889.35
  5. Step 5: Solve for x
    x = 418,889.35/598.11
  6. Step 6: Final answer
    x = 700.36

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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.