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Finding the Fourth Proportional to 567.76, 853.54 and 465.80

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Solution

The fourth proportional to 567.76, 853.54 and 465.80 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.76 : 853.54 = 465.80 : x
  2. Step 2: Convert to fraction form
    567.76/853.54 = 465.80/x
  3. Step 3: Cross multiply
    567.76x = 853.54 × 465.80
  4. Step 4: Simplify right side
    567.76x = 397,578.30
  5. Step 5: Solve for x
    x = 397,578.30/567.76
  6. Step 6: Final answer
    x = 700.26

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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.