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Finding the Fourth Proportional to 340.53, 469.95 and 257.49

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Solution

The fourth proportional to 340.53, 469.95 and 257.49 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.53 : 469.95 = 257.49 : x
  2. Step 2: Convert to fraction form
    340.53/469.95 = 257.49/x
  3. Step 3: Cross multiply
    340.53x = 469.95 × 257.49
  4. Step 4: Simplify right side
    340.53x = 121,007.43
  5. Step 5: Solve for x
    x = 121,007.43/340.53
  6. Step 6: Final answer
    x = 355.35

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