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Finding the Fourth Proportional to 368.34, 507.78 and 257.64

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Solution

The fourth proportional to 368.34, 507.78 and 257.64 is: 355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.34 : 507.78 = 257.64 : x
  2. Step 2: Convert to fraction form
    368.34/507.78 = 257.64/x
  3. Step 3: Cross multiply
    368.34x = 507.78 × 257.64
  4. Step 4: Simplify right side
    368.34x = 130,824.44
  5. Step 5: Solve for x
    x = 130,824.44/368.34
  6. Step 6: Final answer
    x = 355.17

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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.