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Finding the Fourth Proportional to 532.16, 734.37 and 299.28

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Solution

The fourth proportional to 532.16, 734.37 and 299.28 is: 413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.16 : 734.37 = 299.28 : x
  2. Step 2: Convert to fraction form
    532.16/734.37 = 299.28/x
  3. Step 3: Cross multiply
    532.16x = 734.37 × 299.28
  4. Step 4: Simplify right side
    532.16x = 219,782.25
  5. Step 5: Solve for x
    x = 219,782.25/532.16
  6. Step 6: Final answer
    x = 413.00

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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.