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Finding the Fourth Proportional to 567.10, 849.85 and 419.70

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Solution

The fourth proportional to 567.10, 849.85 and 419.70 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.10 : 849.85 = 419.70 : x
  2. Step 2: Convert to fraction form
    567.10/849.85 = 419.70/x
  3. Step 3: Cross multiply
    567.10x = 849.85 × 419.70
  4. Step 4: Simplify right side
    567.10x = 356,682.05
  5. Step 5: Solve for x
    x = 356,682.05/567.10
  6. Step 6: Final answer
    x = 628.96

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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.