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Finding the Fourth Proportional to 293.51, 404.15 and 256.46

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Solution

The fourth proportional to 293.51, 404.15 and 256.46 is: 353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.51 : 404.15 = 256.46 : x
  2. Step 2: Convert to fraction form
    293.51/404.15 = 256.46/x
  3. Step 3: Cross multiply
    293.51x = 404.15 × 256.46
  4. Step 4: Simplify right side
    293.51x = 103,646.29
  5. Step 5: Solve for x
    x = 103,646.29/293.51
  6. Step 6: Final answer
    x = 353.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.