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Finding the Fourth Proportional to 357.35, 535.22 and 310.47

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Solution

The fourth proportional to 357.35, 535.22 and 310.47 is: 465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 535.22 = 310.47 : x
  2. Step 2: Convert to fraction form
    357.35/535.22 = 310.47/x
  3. Step 3: Cross multiply
    357.35x = 535.22 × 310.47
  4. Step 4: Simplify right side
    357.35x = 166,168.20
  5. Step 5: Solve for x
    x = 166,168.20/357.35
  6. Step 6: Final answer
    x = 465.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.