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Finding the Fourth Proportional to 567.80, 852.09 and 307.89

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Solution

The fourth proportional to 567.80, 852.09 and 307.89 is: 462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 852.09 = 307.89 : x
  2. Step 2: Convert to fraction form
    567.80/852.09 = 307.89/x
  3. Step 3: Cross multiply
    567.80x = 852.09 × 307.89
  4. Step 4: Simplify right side
    567.80x = 262,349.99
  5. Step 5: Solve for x
    x = 262,349.99/567.80
  6. Step 6: Final answer
    x = 462.04

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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.