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Finding the Fourth Proportional to 390.45, 585.15 and 341.58

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Solution

The fourth proportional to 390.45, 585.15 and 341.58 is: 511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.45 : 585.15 = 341.58 : x
  2. Step 2: Convert to fraction form
    390.45/585.15 = 341.58/x
  3. Step 3: Cross multiply
    390.45x = 585.15 × 341.58
  4. Step 4: Simplify right side
    390.45x = 199,875.54
  5. Step 5: Solve for x
    x = 199,875.54/390.45
  6. Step 6: Final answer
    x = 511.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.