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Finding the Fourth Proportional to 567.19, 848.49 and 420.85

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Solution

The fourth proportional to 567.19, 848.49 and 420.85 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.19 : 848.49 = 420.85 : x
  2. Step 2: Convert to fraction form
    567.19/848.49 = 420.85/x
  3. Step 3: Cross multiply
    567.19x = 848.49 × 420.85
  4. Step 4: Simplify right side
    567.19x = 357,087.02
  5. Step 5: Solve for x
    x = 357,087.02/567.19
  6. Step 6: Final answer
    x = 629.57

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