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Finding the Fourth Proportional to 650.35, 975.79 and 390.88

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Solution

The fourth proportional to 650.35, 975.79 and 390.88 is: 586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.35 : 975.79 = 390.88 : x
  2. Step 2: Convert to fraction form
    650.35/975.79 = 390.88/x
  3. Step 3: Cross multiply
    650.35x = 975.79 × 390.88
  4. Step 4: Simplify right side
    650.35x = 381,411.92
  5. Step 5: Solve for x
    x = 381,411.92/650.35
  6. Step 6: Final answer
    x = 586.48

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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.