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Finding the Fourth Proportional to 614.09, 846.86 and 473.99

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Solution

The fourth proportional to 614.09, 846.86 and 473.99 is: 653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.09 : 846.86 = 473.99 : x
  2. Step 2: Convert to fraction form
    614.09/846.86 = 473.99/x
  3. Step 3: Cross multiply
    614.09x = 846.86 × 473.99
  4. Step 4: Simplify right side
    614.09x = 401,396.57
  5. Step 5: Solve for x
    x = 401,396.57/614.09
  6. Step 6: Final answer
    x = 653.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.