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Finding the Fourth Proportional to 434.02, 598.97 and 237.53

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Solution

The fourth proportional to 434.02, 598.97 and 237.53 is: 327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.02 : 598.97 = 237.53 : x
  2. Step 2: Convert to fraction form
    434.02/598.97 = 237.53/x
  3. Step 3: Cross multiply
    434.02x = 598.97 × 237.53
  4. Step 4: Simplify right side
    434.02x = 142,273.34
  5. Step 5: Solve for x
    x = 142,273.34/434.02
  6. Step 6: Final answer
    x = 327.80

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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.