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Finding the Fourth Proportional to 390.23, 537.48 and 291.83

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Solution

The fourth proportional to 390.23, 537.48 and 291.83 is: 401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.23 : 537.48 = 291.83 : x
  2. Step 2: Convert to fraction form
    390.23/537.48 = 291.83/x
  3. Step 3: Cross multiply
    390.23x = 537.48 × 291.83
  4. Step 4: Simplify right side
    390.23x = 156,852.79
  5. Step 5: Solve for x
    x = 156,852.79/390.23
  6. Step 6: Final answer
    x = 401.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.