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Finding the Fourth Proportional to 567.68, 852.89 and 362.64

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Solution

The fourth proportional to 567.68, 852.89 and 362.64 is: 544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.68 : 852.89 = 362.64 : x
  2. Step 2: Convert to fraction form
    567.68/852.89 = 362.64/x
  3. Step 3: Cross multiply
    567.68x = 852.89 × 362.64
  4. Step 4: Simplify right side
    567.68x = 309,290.22
  5. Step 5: Solve for x
    x = 309,290.22/567.68
  6. Step 6: Final answer
    x = 544.84

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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.