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Finding the Fourth Proportional to 567.33, 851.09 and 465.05

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Solution

The fourth proportional to 567.33, 851.09 and 465.05 is: 697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.33 : 851.09 = 465.05 : x
  2. Step 2: Convert to fraction form
    567.33/851.09 = 465.05/x
  3. Step 3: Cross multiply
    567.33x = 851.09 × 465.05
  4. Step 4: Simplify right side
    567.33x = 395,792.82
  5. Step 5: Solve for x
    x = 395,792.82/567.33
  6. Step 6: Final answer
    x = 697.64

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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.