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Finding the Fourth Proportional to 569.90, 786.62 and 373.42

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Solution

The fourth proportional to 569.90, 786.62 and 373.42 is: 515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 786.62 = 373.42 : x
  2. Step 2: Convert to fraction form
    569.90/786.62 = 373.42/x
  3. Step 3: Cross multiply
    569.90x = 786.62 × 373.42
  4. Step 4: Simplify right side
    569.90x = 293,739.64
  5. Step 5: Solve for x
    x = 293,739.64/569.90
  6. Step 6: Final answer
    x = 515.42

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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.