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Finding the Fourth Proportional to 357.21, 493.02 and 264.60

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Solution

The fourth proportional to 357.21, 493.02 and 264.60 is: 365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 493.02 = 264.60 : x
  2. Step 2: Convert to fraction form
    357.21/493.02 = 264.60/x
  3. Step 3: Cross multiply
    357.21x = 493.02 × 264.60
  4. Step 4: Simplify right side
    357.21x = 130,453.09
  5. Step 5: Solve for x
    x = 130,453.09/357.21
  6. Step 6: Final answer
    x = 365.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.