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Finding the Fourth Proportional to 390.30, 538.82 and 259.41

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Solution

The fourth proportional to 390.30, 538.82 and 259.41 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.30 : 538.82 = 259.41 : x
  2. Step 2: Convert to fraction form
    390.30/538.82 = 259.41/x
  3. Step 3: Cross multiply
    390.30x = 538.82 × 259.41
  4. Step 4: Simplify right side
    390.30x = 139,775.30
  5. Step 5: Solve for x
    x = 139,775.30/390.30
  6. Step 6: Final answer
    x = 358.12

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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.