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Finding the Fourth Proportional to 567.83, 783.62 and 319.17

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Solution

The fourth proportional to 567.83, 783.62 and 319.17 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.83 : 783.62 = 319.17 : x
  2. Step 2: Convert to fraction form
    567.83/783.62 = 319.17/x
  3. Step 3: Cross multiply
    567.83x = 783.62 × 319.17
  4. Step 4: Simplify right side
    567.83x = 250,108.00
  5. Step 5: Solve for x
    x = 250,108.00/567.83
  6. Step 6: Final answer
    x = 440.46

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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.