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Finding the Fourth Proportional to 569.02, 786.98 and 490.42

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Solution

The fourth proportional to 569.02, 786.98 and 490.42 is: 678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.02 : 786.98 = 490.42 : x
  2. Step 2: Convert to fraction form
    569.02/786.98 = 490.42/x
  3. Step 3: Cross multiply
    569.02x = 786.98 × 490.42
  4. Step 4: Simplify right side
    569.02x = 385,950.73
  5. Step 5: Solve for x
    x = 385,950.73/569.02
  6. Step 6: Final answer
    x = 678.27

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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.