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Finding the Fourth Proportional to 511.70, 766.35 and 317.30

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Solution

The fourth proportional to 511.70, 766.35 and 317.30 is: 475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.70 : 766.35 = 317.30 : x
  2. Step 2: Convert to fraction form
    511.70/766.35 = 317.30/x
  3. Step 3: Cross multiply
    511.70x = 766.35 × 317.30
  4. Step 4: Simplify right side
    511.70x = 243,162.86
  5. Step 5: Solve for x
    x = 243,162.86/511.70
  6. Step 6: Final answer
    x = 475.21

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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.