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Finding the Fourth Proportional to 609.76, 841.47 and 344.21

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Solution

The fourth proportional to 609.76, 841.47 and 344.21 is: 475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.76 : 841.47 = 344.21 : x
  2. Step 2: Convert to fraction form
    609.76/841.47 = 344.21/x
  3. Step 3: Cross multiply
    609.76x = 841.47 × 344.21
  4. Step 4: Simplify right side
    609.76x = 289,642.39
  5. Step 5: Solve for x
    x = 289,642.39/609.76
  6. Step 6: Final answer
    x = 475.01

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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.