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Finding the Fourth Proportional to 598.40, 897.96 and 382.16

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Solution

The fourth proportional to 598.40, 897.96 and 382.16 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.40 : 897.96 = 382.16 : x
  2. Step 2: Convert to fraction form
    598.40/897.96 = 382.16/x
  3. Step 3: Cross multiply
    598.40x = 897.96 × 382.16
  4. Step 4: Simplify right side
    598.40x = 343,164.39
  5. Step 5: Solve for x
    x = 343,164.39/598.40
  6. Step 6: Final answer
    x = 573.47

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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.