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Finding the Fourth Proportional to 918.81, 1,377.95 and 302.60

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Solution

The fourth proportional to 918.81, 1,377.95 and 302.60 is: 453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.81 : 1,377.95 = 302.60 : x
  2. Step 2: Convert to fraction form
    918.81/1,377.95 = 302.60/x
  3. Step 3: Cross multiply
    918.81x = 1,377.95 × 302.60
  4. Step 4: Simplify right side
    918.81x = 416,969.60
  5. Step 5: Solve for x
    x = 416,969.60/918.81
  6. Step 6: Final answer
    x = 453.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.