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Finding the Fourth Proportional to 609.69, 841.41 and 347.70

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Solution

The fourth proportional to 609.69, 841.41 and 347.70 is: 479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.69 : 841.41 = 347.70 : x
  2. Step 2: Convert to fraction form
    609.69/841.41 = 347.70/x
  3. Step 3: Cross multiply
    609.69x = 841.41 × 347.70
  4. Step 4: Simplify right side
    609.69x = 292,558.26
  5. Step 5: Solve for x
    x = 292,558.26/609.69
  6. Step 6: Final answer
    x = 479.85

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Double scale
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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.