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Finding the Fourth Proportional to 567.66, 783.47 and 319.04

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Solution

The fourth proportional to 567.66, 783.47 and 319.04 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.66 : 783.47 = 319.04 : x
  2. Step 2: Convert to fraction form
    567.66/783.47 = 319.04/x
  3. Step 3: Cross multiply
    567.66x = 783.47 × 319.04
  4. Step 4: Simplify right side
    567.66x = 249,958.09
  5. Step 5: Solve for x
    x = 249,958.09/567.66
  6. Step 6: Final answer
    x = 440.33

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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.