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Finding the Fourth Proportional to 567.93, 783.64 and 319.24

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Solution

The fourth proportional to 567.93, 783.64 and 319.24 is: 440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.93 : 783.64 = 319.24 : x
  2. Step 2: Convert to fraction form
    567.93/783.64 = 319.24/x
  3. Step 3: Cross multiply
    567.93x = 783.64 × 319.24
  4. Step 4: Simplify right side
    567.93x = 250,169.23
  5. Step 5: Solve for x
    x = 250,169.23/567.93
  6. Step 6: Final answer
    x = 440.49

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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.