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Finding the Fourth Proportional to 357.09, 531.80 and 344.94

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Solution

The fourth proportional to 357.09, 531.80 and 344.94 is: 513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.09 : 531.80 = 344.94 : x
  2. Step 2: Convert to fraction form
    357.09/531.80 = 344.94/x
  3. Step 3: Cross multiply
    357.09x = 531.80 × 344.94
  4. Step 4: Simplify right side
    357.09x = 183,437.37
  5. Step 5: Solve for x
    x = 183,437.37/357.09
  6. Step 6: Final answer
    x = 513.70

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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.