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Finding the Fourth Proportional to 335.58, 502.82 and 322.77

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Solution

The fourth proportional to 335.58, 502.82 and 322.77 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.58 : 502.82 = 322.77 : x
  2. Step 2: Convert to fraction form
    335.58/502.82 = 322.77/x
  3. Step 3: Cross multiply
    335.58x = 502.82 × 322.77
  4. Step 4: Simplify right side
    335.58x = 162,293.26
  5. Step 5: Solve for x
    x = 162,293.26/335.58
  6. Step 6: Final answer
    x = 483.62

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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.