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Finding the Fourth Proportional to 292.36, 402.90 and 257.08

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Solution

The fourth proportional to 292.36, 402.90 and 257.08 is: 354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.36 : 402.90 = 257.08 : x
  2. Step 2: Convert to fraction form
    292.36/402.90 = 257.08/x
  3. Step 3: Cross multiply
    292.36x = 402.90 × 257.08
  4. Step 4: Simplify right side
    292.36x = 103,577.53
  5. Step 5: Solve for x
    x = 103,577.53/292.36
  6. Step 6: Final answer
    x = 354.28

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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.