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Finding the Fourth Proportional to 569.90, 786.68 and 445.60

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Solution

The fourth proportional to 569.90, 786.68 and 445.60 is: 615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 786.68 = 445.60 : x
  2. Step 2: Convert to fraction form
    569.90/786.68 = 445.60/x
  3. Step 3: Cross multiply
    569.90x = 786.68 × 445.60
  4. Step 4: Simplify right side
    569.90x = 350,544.61
  5. Step 5: Solve for x
    x = 350,544.61/569.90
  6. Step 6: Final answer
    x = 615.10

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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.