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Finding the Fourth Proportional to 357.65, 494.15 and 284.52

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Solution

The fourth proportional to 357.65, 494.15 and 284.52 is: 393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.65 : 494.15 = 284.52 : x
  2. Step 2: Convert to fraction form
    357.65/494.15 = 284.52/x
  3. Step 3: Cross multiply
    357.65x = 494.15 × 284.52
  4. Step 4: Simplify right side
    357.65x = 140,594.14
  5. Step 5: Solve for x
    x = 140,594.14/357.65
  6. Step 6: Final answer
    x = 393.11

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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.