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Finding the Fourth Proportional to 434.16, 649.92 and 352.32

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Solution

The fourth proportional to 434.16, 649.92 and 352.32 is: 527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 649.92 = 352.32 : x
  2. Step 2: Convert to fraction form
    434.16/649.92 = 352.32/x
  3. Step 3: Cross multiply
    434.16x = 649.92 × 352.32
  4. Step 4: Simplify right side
    434.16x = 228,979.81
  5. Step 5: Solve for x
    x = 228,979.81/434.16
  6. Step 6: Final answer
    x = 527.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.