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Finding the Fourth Proportional to 434.56, 599.22 and 336.10

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Solution

The fourth proportional to 434.56, 599.22 and 336.10 is: 463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.56 : 599.22 = 336.10 : x
  2. Step 2: Convert to fraction form
    434.56/599.22 = 336.10/x
  3. Step 3: Cross multiply
    434.56x = 599.22 × 336.10
  4. Step 4: Simplify right side
    434.56x = 201,397.84
  5. Step 5: Solve for x
    x = 201,397.84/434.56
  6. Step 6: Final answer
    x = 463.45

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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.