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Finding the Fourth Proportional to 336.32, 502.30 and 282.26

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Solution

The fourth proportional to 336.32, 502.30 and 282.26 is: 421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.32 : 502.30 = 282.26 : x
  2. Step 2: Convert to fraction form
    336.32/502.30 = 282.26/x
  3. Step 3: Cross multiply
    336.32x = 502.30 × 282.26
  4. Step 4: Simplify right side
    336.32x = 141,779.20
  5. Step 5: Solve for x
    x = 141,779.20/336.32
  6. Step 6: Final answer
    x = 421.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.