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Finding the Fourth Proportional to 532.31, 734.08 and 352.53

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Solution

The fourth proportional to 532.31, 734.08 and 352.53 is: 486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 734.08 = 352.53 : x
  2. Step 2: Convert to fraction form
    532.31/734.08 = 352.53/x
  3. Step 3: Cross multiply
    532.31x = 734.08 × 352.53
  4. Step 4: Simplify right side
    532.31x = 258,783.46
  5. Step 5: Solve for x
    x = 258,783.46/532.31
  6. Step 6: Final answer
    x = 486.16

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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.