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Finding the Fourth Proportional to 598.24, 897.45 and 228.02

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Solution

The fourth proportional to 598.24, 897.45 and 228.02 is: 342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.24 : 897.45 = 228.02 : x
  2. Step 2: Convert to fraction form
    598.24/897.45 = 228.02/x
  3. Step 3: Cross multiply
    598.24x = 897.45 × 228.02
  4. Step 4: Simplify right side
    598.24x = 204,637.37
  5. Step 5: Solve for x
    x = 204,637.37/598.24
  6. Step 6: Final answer
    x = 342.06

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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.