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Finding the Fourth Proportional to 567.49, 851.08 and 359.12

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Solution

The fourth proportional to 567.49, 851.08 and 359.12 is: 538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 851.08 = 359.12 : x
  2. Step 2: Convert to fraction form
    567.49/851.08 = 359.12/x
  3. Step 3: Cross multiply
    567.49x = 851.08 × 359.12
  4. Step 4: Simplify right side
    567.49x = 305,637.89
  5. Step 5: Solve for x
    x = 305,637.89/567.49
  6. Step 6: Final answer
    x = 538.58

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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.