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Finding the Fourth Proportional to 620.50, 931.66 and 390.84

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Solution

The fourth proportional to 620.50, 931.66 and 390.84 is: 586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.50 : 931.66 = 390.84 : x
  2. Step 2: Convert to fraction form
    620.50/931.66 = 390.84/x
  3. Step 3: Cross multiply
    620.50x = 931.66 × 390.84
  4. Step 4: Simplify right side
    620.50x = 364,129.99
  5. Step 5: Solve for x
    x = 364,129.99/620.50
  6. Step 6: Final answer
    x = 586.83

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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.