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Finding the Fourth Proportional to 304.37, 455.90 and 283.00

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Solution

The fourth proportional to 304.37, 455.90 and 283.00 is: 423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.37 : 455.90 = 283.00 : x
  2. Step 2: Convert to fraction form
    304.37/455.90 = 283.00/x
  3. Step 3: Cross multiply
    304.37x = 455.90 × 283.00
  4. Step 4: Simplify right side
    304.37x = 129,017.42
  5. Step 5: Solve for x
    x = 129,017.42/304.37
  6. Step 6: Final answer
    x = 423.88

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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.