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Finding the Fourth Proportional to 532.15, 734.39 and 400.93

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Solution

The fourth proportional to 532.15, 734.39 and 400.93 is: 553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.15 : 734.39 = 400.93 : x
  2. Step 2: Convert to fraction form
    532.15/734.39 = 400.93/x
  3. Step 3: Cross multiply
    532.15x = 734.39 × 400.93
  4. Step 4: Simplify right side
    532.15x = 294,436.65
  5. Step 5: Solve for x
    x = 294,436.65/532.15
  6. Step 6: Final answer
    x = 553.30

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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.