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Finding the Fourth Proportional to 567.09, 782.34 and 435.87

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Solution

The fourth proportional to 567.09, 782.34 and 435.87 is: 601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.09 : 782.34 = 435.87 : x
  2. Step 2: Convert to fraction form
    567.09/782.34 = 435.87/x
  3. Step 3: Cross multiply
    567.09x = 782.34 × 435.87
  4. Step 4: Simplify right side
    567.09x = 340,998.54
  5. Step 5: Solve for x
    x = 340,998.54/567.09
  6. Step 6: Final answer
    x = 601.31

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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.