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Finding the Fourth Proportional to 717.62, 990.50 and 419.10

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Solution

The fourth proportional to 717.62, 990.50 and 419.10 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.62 : 990.50 = 419.10 : x
  2. Step 2: Convert to fraction form
    717.62/990.50 = 419.10/x
  3. Step 3: Cross multiply
    717.62x = 990.50 × 419.10
  4. Step 4: Simplify right side
    717.62x = 415,116.45
  5. Step 5: Solve for x
    x = 415,116.45/717.62
  6. Step 6: Final answer
    x = 578.47

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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.