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Finding the Fourth Proportional to 567.45, 783.18 and 410.62

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Solution

The fourth proportional to 567.45, 783.18 and 410.62 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 783.18 = 410.62 : x
  2. Step 2: Convert to fraction form
    567.45/783.18 = 410.62/x
  3. Step 3: Cross multiply
    567.45x = 783.18 × 410.62
  4. Step 4: Simplify right side
    567.45x = 321,589.37
  5. Step 5: Solve for x
    x = 321,589.37/567.45
  6. Step 6: Final answer
    x = 566.73

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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.