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Finding the Fourth Proportional to 357.46, 532.75 and 350.26

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Solution

The fourth proportional to 357.46, 532.75 and 350.26 is: 522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.46 : 532.75 = 350.26 : x
  2. Step 2: Convert to fraction form
    357.46/532.75 = 350.26/x
  3. Step 3: Cross multiply
    357.46x = 532.75 × 350.26
  4. Step 4: Simplify right side
    357.46x = 186,601.02
  5. Step 5: Solve for x
    x = 186,601.02/357.46
  6. Step 6: Final answer
    x = 522.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.