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Finding the Fourth Proportional to 598.32, 897.14 and 208.10

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Solution

The fourth proportional to 598.32, 897.14 and 208.10 is: 312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 897.14 = 208.10 : x
  2. Step 2: Convert to fraction form
    598.32/897.14 = 208.10/x
  3. Step 3: Cross multiply
    598.32x = 897.14 × 208.10
  4. Step 4: Simplify right side
    598.32x = 186,694.83
  5. Step 5: Solve for x
    x = 186,694.83/598.32
  6. Step 6: Final answer
    x = 312.03

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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.