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Finding the Fourth Proportional to 357.82, 533.62 and 314.69

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Solution

The fourth proportional to 357.82, 533.62 and 314.69 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 533.62 = 314.69 : x
  2. Step 2: Convert to fraction form
    357.82/533.62 = 314.69/x
  3. Step 3: Cross multiply
    357.82x = 533.62 × 314.69
  4. Step 4: Simplify right side
    357.82x = 167,922.60
  5. Step 5: Solve for x
    x = 167,922.60/357.82
  6. Step 6: Final answer
    x = 469.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.