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Finding the Fourth Proportional to 434.16, 598.28 and 379.60

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Solution

The fourth proportional to 434.16, 598.28 and 379.60 is: 523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 598.28 = 379.60 : x
  2. Step 2: Convert to fraction form
    434.16/598.28 = 379.60/x
  3. Step 3: Cross multiply
    434.16x = 598.28 × 379.60
  4. Step 4: Simplify right side
    434.16x = 227,107.09
  5. Step 5: Solve for x
    x = 227,107.09/434.16
  6. Step 6: Final answer
    x = 523.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.