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Finding the Fourth Proportional to 532.91, 734.94 and 346.22

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Solution

The fourth proportional to 532.91, 734.94 and 346.22 is: 477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.91 : 734.94 = 346.22 : x
  2. Step 2: Convert to fraction form
    532.91/734.94 = 346.22/x
  3. Step 3: Cross multiply
    532.91x = 734.94 × 346.22
  4. Step 4: Simplify right side
    532.91x = 254,450.93
  5. Step 5: Solve for x
    x = 254,450.93/532.91
  6. Step 6: Final answer
    x = 477.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.