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Finding the Fourth Proportional to 434.50, 599.56 and 237.96

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Solution

The fourth proportional to 434.50, 599.56 and 237.96 is: 328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.50 : 599.56 = 237.96 : x
  2. Step 2: Convert to fraction form
    434.50/599.56 = 237.96/x
  3. Step 3: Cross multiply
    434.50x = 599.56 × 237.96
  4. Step 4: Simplify right side
    434.50x = 142,670.70
  5. Step 5: Solve for x
    x = 142,670.70/434.50
  6. Step 6: Final answer
    x = 328.36

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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.