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Finding the Fourth Proportional to 342.90, 512.46 and 270

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Solution

The fourth proportional to 342.90, 512.46 and 270 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.90 : 512.46 = 270 : x
  2. Step 2: Convert to fraction form
    342.90/512.46 = 270/x
  3. Step 3: Cross multiply
    342.90x = 512.46 × 270
  4. Step 4: Simplify right side
    342.90x = 138,364.20
  5. Step 5: Solve for x
    x = 138,364.20/342.90
  6. Step 6: Final answer
    x = 403.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.