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Finding the Fourth Proportional to 569.70, 786.98 and 440.37

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Solution

The fourth proportional to 569.70, 786.98 and 440.37 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.70 : 786.98 = 440.37 : x
  2. Step 2: Convert to fraction form
    569.70/786.98 = 440.37/x
  3. Step 3: Cross multiply
    569.70x = 786.98 × 440.37
  4. Step 4: Simplify right side
    569.70x = 346,563.48
  5. Step 5: Solve for x
    x = 346,563.48/569.70
  6. Step 6: Final answer
    x = 608.33

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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.