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Finding the Fourth Proportional to 434.24, 599.10 and 279.08

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Solution

The fourth proportional to 434.24, 599.10 and 279.08 is: 385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.24 : 599.10 = 279.08 : x
  2. Step 2: Convert to fraction form
    434.24/599.10 = 279.08/x
  3. Step 3: Cross multiply
    434.24x = 599.10 × 279.08
  4. Step 4: Simplify right side
    434.24x = 167,196.83
  5. Step 5: Solve for x
    x = 167,196.83/434.24
  6. Step 6: Final answer
    x = 385.03

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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.