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Finding the Fourth Proportional to 434.26, 598.41 and 316.04

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Solution

The fourth proportional to 434.26, 598.41 and 316.04 is: 435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 598.41 = 316.04 : x
  2. Step 2: Convert to fraction form
    434.26/598.41 = 316.04/x
  3. Step 3: Cross multiply
    434.26x = 598.41 × 316.04
  4. Step 4: Simplify right side
    434.26x = 189,121.50
  5. Step 5: Solve for x
    x = 189,121.50/434.26
  6. Step 6: Final answer
    x = 435.50

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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.