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Finding the Fourth Proportional to 434.34, 599.36 and 237.81

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Solution

The fourth proportional to 434.34, 599.36 and 237.81 is: 328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 599.36 = 237.81 : x
  2. Step 2: Convert to fraction form
    434.34/599.36 = 237.81/x
  3. Step 3: Cross multiply
    434.34x = 599.36 × 237.81
  4. Step 4: Simplify right side
    434.34x = 142,531.71
  5. Step 5: Solve for x
    x = 142,531.71/434.34
  6. Step 6: Final answer
    x = 328.16

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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.