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Finding the Fourth Proportional to 598.56, 897.18 and 252.08

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Solution

The fourth proportional to 598.56, 897.18 and 252.08 is: 377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 897.18 = 252.08 : x
  2. Step 2: Convert to fraction form
    598.56/897.18 = 252.08/x
  3. Step 3: Cross multiply
    598.56x = 897.18 × 252.08
  4. Step 4: Simplify right side
    598.56x = 226,159.07
  5. Step 5: Solve for x
    x = 226,159.07/598.56
  6. Step 6: Final answer
    x = 377.84

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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.