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Finding the Fourth Proportional to 434.06, 599.01 and 237.58

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Solution

The fourth proportional to 434.06, 599.01 and 237.58 is: 327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.06 : 599.01 = 237.58 : x
  2. Step 2: Convert to fraction form
    434.06/599.01 = 237.58/x
  3. Step 3: Cross multiply
    434.06x = 599.01 × 237.58
  4. Step 4: Simplify right side
    434.06x = 142,312.80
  5. Step 5: Solve for x
    x = 142,312.80/434.06
  6. Step 6: Final answer
    x = 327.86

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