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Finding the Fourth Proportional to 567.90, 783.71 and 315.83

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Solution

The fourth proportional to 567.90, 783.71 and 315.83 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 783.71 = 315.83 : x
  2. Step 2: Convert to fraction form
    567.90/783.71 = 315.83/x
  3. Step 3: Cross multiply
    567.90x = 783.71 × 315.83
  4. Step 4: Simplify right side
    567.90x = 247,520.69
  5. Step 5: Solve for x
    x = 247,520.69/567.90
  6. Step 6: Final answer
    x = 435.85

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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.