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Finding the Fourth Proportional to 598.60, 897.72 and 208.50

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Solution

The fourth proportional to 598.60, 897.72 and 208.50 is: 312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.60 : 897.72 = 208.50 : x
  2. Step 2: Convert to fraction form
    598.60/897.72 = 208.50/x
  3. Step 3: Cross multiply
    598.60x = 897.72 × 208.50
  4. Step 4: Simplify right side
    598.60x = 187,174.62
  5. Step 5: Solve for x
    x = 187,174.62/598.60
  6. Step 6: Final answer
    x = 312.69

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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.