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Finding the Fourth Proportional to 511.30, 706.08 and 418.15

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Solution

The fourth proportional to 511.30, 706.08 and 418.15 is: 577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 706.08 = 418.15 : x
  2. Step 2: Convert to fraction form
    511.30/706.08 = 418.15/x
  3. Step 3: Cross multiply
    511.30x = 706.08 × 418.15
  4. Step 4: Simplify right side
    511.30x = 295,247.35
  5. Step 5: Solve for x
    x = 295,247.35/511.30
  6. Step 6: Final answer
    x = 577.44

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