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Finding the Fourth Proportional to 357.54, 537.03 and 347.46

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Solution

The fourth proportional to 357.54, 537.03 and 347.46 is: 521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 537.03 = 347.46 : x
  2. Step 2: Convert to fraction form
    357.54/537.03 = 347.46/x
  3. Step 3: Cross multiply
    357.54x = 537.03 × 347.46
  4. Step 4: Simplify right side
    357.54x = 186,596.44
  5. Step 5: Solve for x
    x = 186,596.44/357.54
  6. Step 6: Final answer
    x = 521.89

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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.