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Finding the Fourth Proportional to 518.70, 777.63 and 210.70

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Solution

The fourth proportional to 518.70, 777.63 and 210.70 is: 315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.70 : 777.63 = 210.70 : x
  2. Step 2: Convert to fraction form
    518.70/777.63 = 210.70/x
  3. Step 3: Cross multiply
    518.70x = 777.63 × 210.70
  4. Step 4: Simplify right side
    518.70x = 163,848.40
  5. Step 5: Solve for x
    x = 163,848.40/518.70
  6. Step 6: Final answer
    x = 315.88

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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.