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Finding the Fourth Proportional to 532.05, 734.10 and 322.17

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Solution

The fourth proportional to 532.05, 734.10 and 322.17 is: 444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.05 : 734.10 = 322.17 : x
  2. Step 2: Convert to fraction form
    532.05/734.10 = 322.17/x
  3. Step 3: Cross multiply
    532.05x = 734.10 × 322.17
  4. Step 4: Simplify right side
    532.05x = 236,505.00
  5. Step 5: Solve for x
    x = 236,505.00/532.05
  6. Step 6: Final answer
    x = 444.52

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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.