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Finding the Fourth Proportional to 567.89, 852.14 and 430.90

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Solution

The fourth proportional to 567.89, 852.14 and 430.90 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.89 : 852.14 = 430.90 : x
  2. Step 2: Convert to fraction form
    567.89/852.14 = 430.90/x
  3. Step 3: Cross multiply
    567.89x = 852.14 × 430.90
  4. Step 4: Simplify right side
    567.89x = 367,184.97
  5. Step 5: Solve for x
    x = 367,184.97/567.89
  6. Step 6: Final answer
    x = 646.58

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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.