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Finding the Fourth Proportional to 434.40, 599.16 and 279

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Solution

The fourth proportional to 434.40, 599.16 and 279 is: 384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 599.16 = 279 : x
  2. Step 2: Convert to fraction form
    434.40/599.16 = 279/x
  3. Step 3: Cross multiply
    434.40x = 599.16 × 279
  4. Step 4: Simplify right side
    434.40x = 167,165.64
  5. Step 5: Solve for x
    x = 167,165.64/434.40
  6. Step 6: Final answer
    x = 384.82

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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.