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Finding the Fourth Proportional to 567.14, 850.40 and 435.31

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Solution

The fourth proportional to 567.14, 850.40 and 435.31 is: 652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 850.40 = 435.31 : x
  2. Step 2: Convert to fraction form
    567.14/850.40 = 435.31/x
  3. Step 3: Cross multiply
    567.14x = 850.40 × 435.31
  4. Step 4: Simplify right side
    567.14x = 370,184.95
  5. Step 5: Solve for x
    x = 370,184.95/567.14
  6. Step 6: Final answer
    x = 652.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.