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Finding the Fourth Proportional to 567.98, 783.79 and 319.33

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Solution

The fourth proportional to 567.98, 783.79 and 319.33 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.98 : 783.79 = 319.33 : x
  2. Step 2: Convert to fraction form
    567.98/783.79 = 319.33/x
  3. Step 3: Cross multiply
    567.98x = 783.79 × 319.33
  4. Step 4: Simplify right side
    567.98x = 250,284.52
  5. Step 5: Solve for x
    x = 250,284.52/567.98
  6. Step 6: Final answer
    x = 440.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.