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Finding the Fourth Proportional to 616.70, 926.23 and 357.22

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Solution

The fourth proportional to 616.70, 926.23 and 357.22 is: 536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.70 : 926.23 = 357.22 : x
  2. Step 2: Convert to fraction form
    616.70/926.23 = 357.22/x
  3. Step 3: Cross multiply
    616.70x = 926.23 × 357.22
  4. Step 4: Simplify right side
    616.70x = 330,867.81
  5. Step 5: Solve for x
    x = 330,867.81/616.70
  6. Step 6: Final answer
    x = 536.51

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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.