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Finding the Fourth Proportional to 491.68, 677.68 and 409.08

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Solution

The fourth proportional to 491.68, 677.68 and 409.08 is: 563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.68 : 677.68 = 409.08 : x
  2. Step 2: Convert to fraction form
    491.68/677.68 = 409.08/x
  3. Step 3: Cross multiply
    491.68x = 677.68 × 409.08
  4. Step 4: Simplify right side
    491.68x = 277,225.33
  5. Step 5: Solve for x
    x = 277,225.33/491.68
  6. Step 6: Final answer
    x = 563.83

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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.