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Finding the Fourth Proportional to 505.83, 699.80 and 418.35

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Solution

The fourth proportional to 505.83, 699.80 and 418.35 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 699.80 = 418.35 : x
  2. Step 2: Convert to fraction form
    505.83/699.80 = 418.35/x
  3. Step 3: Cross multiply
    505.83x = 699.80 × 418.35
  4. Step 4: Simplify right side
    505.83x = 292,759.24
  5. Step 5: Solve for x
    x = 292,759.24/505.83
  6. Step 6: Final answer
    x = 578.77

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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.