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Finding the Fourth Proportional to 613.84, 846.12 and 417.64

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Solution

The fourth proportional to 613.84, 846.12 and 417.64 is: 575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.84 : 846.12 = 417.64 : x
  2. Step 2: Convert to fraction form
    613.84/846.12 = 417.64/x
  3. Step 3: Cross multiply
    613.84x = 846.12 × 417.64
  4. Step 4: Simplify right side
    613.84x = 353,373.56
  5. Step 5: Solve for x
    x = 353,373.56/613.84
  6. Step 6: Final answer
    x = 575.68

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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.