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Finding the Fourth Proportional to 390.16, 538.49 and 257.15

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Solution

The fourth proportional to 390.16, 538.49 and 257.15 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.16 : 538.49 = 257.15 : x
  2. Step 2: Convert to fraction form
    390.16/538.49 = 257.15/x
  3. Step 3: Cross multiply
    390.16x = 538.49 × 257.15
  4. Step 4: Simplify right side
    390.16x = 138,470.65
  5. Step 5: Solve for x
    x = 138,470.65/390.16
  6. Step 6: Final answer
    x = 354.91

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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.