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Finding the Fourth Proportional to 598.35, 897.50 and 208.23

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Solution

The fourth proportional to 598.35, 897.50 and 208.23 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.35 : 897.50 = 208.23 : x
  2. Step 2: Convert to fraction form
    598.35/897.50 = 208.23/x
  3. Step 3: Cross multiply
    598.35x = 897.50 × 208.23
  4. Step 4: Simplify right side
    598.35x = 186,885.38
  5. Step 5: Solve for x
    x = 186,885.38/598.35
  6. Step 6: Final answer
    x = 312.33

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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.