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Finding the Fourth Proportional to 335.69, 502.93 and 328.40

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Solution

The fourth proportional to 335.69, 502.93 and 328.40 is: 492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.69 : 502.93 = 328.40 : x
  2. Step 2: Convert to fraction form
    335.69/502.93 = 328.40/x
  3. Step 3: Cross multiply
    335.69x = 502.93 × 328.40
  4. Step 4: Simplify right side
    335.69x = 165,162.21
  5. Step 5: Solve for x
    x = 165,162.21/335.69
  6. Step 6: Final answer
    x = 492.01

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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.