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Finding the Fourth Proportional to 433.60, 646.08 and 412.67

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Solution

The fourth proportional to 433.60, 646.08 and 412.67 is: 614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 646.08 = 412.67 : x
  2. Step 2: Convert to fraction form
    433.60/646.08 = 412.67/x
  3. Step 3: Cross multiply
    433.60x = 646.08 × 412.67
  4. Step 4: Simplify right side
    433.60x = 266,615.77
  5. Step 5: Solve for x
    x = 266,615.77/433.60
  6. Step 6: Final answer
    x = 614.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.