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Finding the Fourth Proportional to 567.69, 783.45 and 319.05

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Solution

The fourth proportional to 567.69, 783.45 and 319.05 is: 440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.69 : 783.45 = 319.05 : x
  2. Step 2: Convert to fraction form
    567.69/783.45 = 319.05/x
  3. Step 3: Cross multiply
    567.69x = 783.45 × 319.05
  4. Step 4: Simplify right side
    567.69x = 249,959.72
  5. Step 5: Solve for x
    x = 249,959.72/567.69
  6. Step 6: Final answer
    x = 440.31

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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.