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Finding the Fourth Proportional to 335.30, 502.64 and 284.28

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Solution

The fourth proportional to 335.30, 502.64 and 284.28 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.30 : 502.64 = 284.28 : x
  2. Step 2: Convert to fraction form
    335.30/502.64 = 284.28/x
  3. Step 3: Cross multiply
    335.30x = 502.64 × 284.28
  4. Step 4: Simplify right side
    335.30x = 142,890.50
  5. Step 5: Solve for x
    x = 142,890.50/335.30
  6. Step 6: Final answer
    x = 426.16

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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.