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Finding the Fourth Proportional to 434.29, 599.33 and 237.81

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Solution

The fourth proportional to 434.29, 599.33 and 237.81 is: 328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.29 : 599.33 = 237.81 : x
  2. Step 2: Convert to fraction form
    434.29/599.33 = 237.81/x
  3. Step 3: Cross multiply
    434.29x = 599.33 × 237.81
  4. Step 4: Simplify right side
    434.29x = 142,522.48
  5. Step 5: Solve for x
    x = 142,522.48/434.29
  6. Step 6: Final answer
    x = 328.18

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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.