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Finding the Fourth Proportional to 491.47, 678.23 and 270.42

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Solution

The fourth proportional to 491.47, 678.23 and 270.42 is: 373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 678.23 = 270.42 : x
  2. Step 2: Convert to fraction form
    491.47/678.23 = 270.42/x
  3. Step 3: Cross multiply
    491.47x = 678.23 × 270.42
  4. Step 4: Simplify right side
    491.47x = 183,406.96
  5. Step 5: Solve for x
    x = 183,406.96/491.47
  6. Step 6: Final answer
    x = 373.18

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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.