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Finding the Fourth Proportional to 613.02, 846.02 and 403.36

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Solution

The fourth proportional to 613.02, 846.02 and 403.36 is: 556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.02 : 846.02 = 403.36 : x
  2. Step 2: Convert to fraction form
    613.02/846.02 = 403.36/x
  3. Step 3: Cross multiply
    613.02x = 846.02 × 403.36
  4. Step 4: Simplify right side
    613.02x = 341,250.63
  5. Step 5: Solve for x
    x = 341,250.63/613.02
  6. Step 6: Final answer
    x = 556.67

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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.