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Finding the Fourth Proportional to 567.85, 783.65 and 319.22

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Solution

The fourth proportional to 567.85, 783.65 and 319.22 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.85 : 783.65 = 319.22 : x
  2. Step 2: Convert to fraction form
    567.85/783.65 = 319.22/x
  3. Step 3: Cross multiply
    567.85x = 783.65 × 319.22
  4. Step 4: Simplify right side
    567.85x = 250,151.24
  5. Step 5: Solve for x
    x = 250,151.24/567.85
  6. Step 6: Final answer
    x = 440.53

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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.