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Finding the Fourth Proportional to 357.71, 537.93 and 303.03

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Solution

The fourth proportional to 357.71, 537.93 and 303.03 is: 455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.71 : 537.93 = 303.03 : x
  2. Step 2: Convert to fraction form
    357.71/537.93 = 303.03/x
  3. Step 3: Cross multiply
    357.71x = 537.93 × 303.03
  4. Step 4: Simplify right side
    357.71x = 163,008.93
  5. Step 5: Solve for x
    x = 163,008.93/357.71
  6. Step 6: Final answer
    x = 455.71

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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.