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Finding the Fourth Proportional to 605.70, 909.06 and 536.48

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Solution

The fourth proportional to 605.70, 909.06 and 536.48 is: 805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.70 : 909.06 = 536.48 : x
  2. Step 2: Convert to fraction form
    605.70/909.06 = 536.48/x
  3. Step 3: Cross multiply
    605.70x = 909.06 × 536.48
  4. Step 4: Simplify right side
    605.70x = 487,692.51
  5. Step 5: Solve for x
    x = 487,692.51/605.70
  6. Step 6: Final answer
    x = 805.17

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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.