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Finding the Fourth Proportional to 368.15, 507.74 and 256.23

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Solution

The fourth proportional to 368.15, 507.74 and 256.23 is: 353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.15 : 507.74 = 256.23 : x
  2. Step 2: Convert to fraction form
    368.15/507.74 = 256.23/x
  3. Step 3: Cross multiply
    368.15x = 507.74 × 256.23
  4. Step 4: Simplify right side
    368.15x = 130,096.94
  5. Step 5: Solve for x
    x = 130,096.94/368.15
  6. Step 6: Final answer
    x = 353.39

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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.