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Finding the Fourth Proportional to 357.91, 538.69 and 305.05

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Solution

The fourth proportional to 357.91, 538.69 and 305.05 is: 459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.91 : 538.69 = 305.05 : x
  2. Step 2: Convert to fraction form
    357.91/538.69 = 305.05/x
  3. Step 3: Cross multiply
    357.91x = 538.69 × 305.05
  4. Step 4: Simplify right side
    357.91x = 164,327.38
  5. Step 5: Solve for x
    x = 164,327.38/357.91
  6. Step 6: Final answer
    x = 459.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.