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Finding the Fourth Proportional to 434.32, 598.75 and 372.26

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Solution

The fourth proportional to 434.32, 598.75 and 372.26 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.32 : 598.75 = 372.26 : x
  2. Step 2: Convert to fraction form
    434.32/598.75 = 372.26/x
  3. Step 3: Cross multiply
    434.32x = 598.75 × 372.26
  4. Step 4: Simplify right side
    434.32x = 222,890.68
  5. Step 5: Solve for x
    x = 222,890.68/434.32
  6. Step 6: Final answer
    x = 513.19

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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.