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Finding the Fourth Proportional to 609.68, 841.41 and 347.69

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Solution

The fourth proportional to 609.68, 841.41 and 347.69 is: 479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.68 : 841.41 = 347.69 : x
  2. Step 2: Convert to fraction form
    609.68/841.41 = 347.69/x
  3. Step 3: Cross multiply
    609.68x = 841.41 × 347.69
  4. Step 4: Simplify right side
    609.68x = 292,551.95
  5. Step 5: Solve for x
    x = 292,551.95/609.68
  6. Step 6: Final answer
    x = 479.84

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1.5x scale

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.