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Finding the Fourth Proportional to 567.87, 783.65 and 319.19

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Solution

The fourth proportional to 567.87, 783.65 and 319.19 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 783.65 = 319.19 : x
  2. Step 2: Convert to fraction form
    567.87/783.65 = 319.19/x
  3. Step 3: Cross multiply
    567.87x = 783.65 × 319.19
  4. Step 4: Simplify right side
    567.87x = 250,131.28
  5. Step 5: Solve for x
    x = 250,131.28/567.87
  6. Step 6: Final answer
    x = 440.47

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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.