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Finding the Fourth Proportional to 357.40, 535.32 and 342.28

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Solution

The fourth proportional to 357.40, 535.32 and 342.28 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.40 : 535.32 = 342.28 : x
  2. Step 2: Convert to fraction form
    357.40/535.32 = 342.28/x
  3. Step 3: Cross multiply
    357.40x = 535.32 × 342.28
  4. Step 4: Simplify right side
    357.40x = 183,229.33
  5. Step 5: Solve for x
    x = 183,229.33/357.40
  6. Step 6: Final answer
    x = 512.67

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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.