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Finding the Fourth Proportional to 598.01, 898.23 and 355.01

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Solution

The fourth proportional to 598.01, 898.23 and 355.01 is: 533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 898.23 = 355.01 : x
  2. Step 2: Convert to fraction form
    598.01/898.23 = 355.01/x
  3. Step 3: Cross multiply
    598.01x = 898.23 × 355.01
  4. Step 4: Simplify right side
    598.01x = 318,876.14
  5. Step 5: Solve for x
    x = 318,876.14/598.01
  6. Step 6: Final answer
    x = 533.23

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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.