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Finding the Fourth Proportional to 434.02, 598.96 and 237.54

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Solution

The fourth proportional to 434.02, 598.96 and 237.54 is: 327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.02 : 598.96 = 237.54 : x
  2. Step 2: Convert to fraction form
    434.02/598.96 = 237.54/x
  3. Step 3: Cross multiply
    434.02x = 598.96 × 237.54
  4. Step 4: Simplify right side
    434.02x = 142,276.96
  5. Step 5: Solve for x
    x = 142,276.96/434.02
  6. Step 6: Final answer
    x = 327.81

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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.