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Finding the Fourth Proportional to 598.77, 897.62 and 213.93

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Solution

The fourth proportional to 598.77, 897.62 and 213.93 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.77 : 897.62 = 213.93 : x
  2. Step 2: Convert to fraction form
    598.77/897.62 = 213.93/x
  3. Step 3: Cross multiply
    598.77x = 897.62 × 213.93
  4. Step 4: Simplify right side
    598.77x = 192,026.78
  5. Step 5: Solve for x
    x = 192,026.78/598.77
  6. Step 6: Final answer
    x = 320.70

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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.