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Finding the Fourth Proportional to 609.76, 841.40 and 354.16

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Solution

The fourth proportional to 609.76, 841.40 and 354.16 is: 488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.76 : 841.40 = 354.16 : x
  2. Step 2: Convert to fraction form
    609.76/841.40 = 354.16/x
  3. Step 3: Cross multiply
    609.76x = 841.40 × 354.16
  4. Step 4: Simplify right side
    609.76x = 297,990.22
  5. Step 5: Solve for x
    x = 297,990.22/609.76
  6. Step 6: Final answer
    x = 488.70

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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.