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Finding the Fourth Proportional to 357.13, 532.96 and 301.33

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Solution

The fourth proportional to 357.13, 532.96 and 301.33 is: 449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.13 : 532.96 = 301.33 : x
  2. Step 2: Convert to fraction form
    357.13/532.96 = 301.33/x
  3. Step 3: Cross multiply
    357.13x = 532.96 × 301.33
  4. Step 4: Simplify right side
    357.13x = 160,596.84
  5. Step 5: Solve for x
    x = 160,596.84/357.13
  6. Step 6: Final answer
    x = 449.69

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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.