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Finding the Fourth Proportional to 434.16, 599.14 and 237.66

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Solution

The fourth proportional to 434.16, 599.14 and 237.66 is: 327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 599.14 = 237.66 : x
  2. Step 2: Convert to fraction form
    434.16/599.14 = 237.66/x
  3. Step 3: Cross multiply
    434.16x = 599.14 × 237.66
  4. Step 4: Simplify right side
    434.16x = 142,394.16
  5. Step 5: Solve for x
    x = 142,394.16/434.16
  6. Step 6: Final answer
    x = 327.98

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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.