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Finding the Fourth Proportional to 491.67, 678.50 and 270.63

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Solution

The fourth proportional to 491.67, 678.50 and 270.63 is: 373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 678.50 = 270.63 : x
  2. Step 2: Convert to fraction form
    491.67/678.50 = 270.63/x
  3. Step 3: Cross multiply
    491.67x = 678.50 × 270.63
  4. Step 4: Simplify right side
    491.67x = 183,622.46
  5. Step 5: Solve for x
    x = 183,622.46/491.67
  6. Step 6: Final answer
    x = 373.47

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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.