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Finding the Fourth Proportional to 390.24, 537.68 and 316.32

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Solution

The fourth proportional to 390.24, 537.68 and 316.32 is: 435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.24 : 537.68 = 316.32 : x
  2. Step 2: Convert to fraction form
    390.24/537.68 = 316.32/x
  3. Step 3: Cross multiply
    390.24x = 537.68 × 316.32
  4. Step 4: Simplify right side
    390.24x = 170,078.94
  5. Step 5: Solve for x
    x = 170,078.94/390.24
  6. Step 6: Final answer
    x = 435.83

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Why These Related Problems?

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