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Finding the Fourth Proportional to 918.87, 1,378.53 and 302.54

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Solution

The fourth proportional to 918.87, 1,378.53 and 302.54 is: 453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.87 : 1,378.53 = 302.54 : x
  2. Step 2: Convert to fraction form
    918.87/1,378.53 = 302.54/x
  3. Step 3: Cross multiply
    918.87x = 1,378.53 × 302.54
  4. Step 4: Simplify right side
    918.87x = 417,060.47
  5. Step 5: Solve for x
    x = 417,060.47/918.87
  6. Step 6: Final answer
    x = 453.88

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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.