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Finding the Fourth Proportional to 357.21, 535.21 and 275.81

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Solution

The fourth proportional to 357.21, 535.21 and 275.81 is: 413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 535.21 = 275.81 : x
  2. Step 2: Convert to fraction form
    357.21/535.21 = 275.81/x
  3. Step 3: Cross multiply
    357.21x = 535.21 × 275.81
  4. Step 4: Simplify right side
    357.21x = 147,612.90
  5. Step 5: Solve for x
    x = 147,612.90/357.21
  6. Step 6: Final answer
    x = 413.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.