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Finding the Fourth Proportional to 357, 535.64 and 343.02

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Solution

The fourth proportional to 357, 535.64 and 343.02 is: 514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357 : 535.64 = 343.02 : x
  2. Step 2: Convert to fraction form
    357/535.64 = 343.02/x
  3. Step 3: Cross multiply
    357x = 535.64 × 343.02
  4. Step 4: Simplify right side
    357x = 183,735.23
  5. Step 5: Solve for x
    x = 183,735.23/357
  6. Step 6: Final answer
    x = 514.66

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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.