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Finding the Fourth Proportional to 511.48, 766.65 and 389.35

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Solution

The fourth proportional to 511.48, 766.65 and 389.35 is: 583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.48 : 766.65 = 389.35 : x
  2. Step 2: Convert to fraction form
    511.48/766.65 = 389.35/x
  3. Step 3: Cross multiply
    511.48x = 766.65 × 389.35
  4. Step 4: Simplify right side
    511.48x = 298,491.34
  5. Step 5: Solve for x
    x = 298,491.34/511.48
  6. Step 6: Final answer
    x = 583.59

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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.