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Finding the Fourth Proportional to 557.86, 769.86 and 309.19

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Solution

The fourth proportional to 557.86, 769.86 and 309.19 is: 426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 769.86 = 309.19 : x
  2. Step 2: Convert to fraction form
    557.86/769.86 = 309.19/x
  3. Step 3: Cross multiply
    557.86x = 769.86 × 309.19
  4. Step 4: Simplify right side
    557.86x = 238,030.51
  5. Step 5: Solve for x
    x = 238,030.51/557.86
  6. Step 6: Final answer
    x = 426.68

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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.