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Finding the Fourth Proportional to 341.16, 470.34 and 253.68

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Solution

The fourth proportional to 341.16, 470.34 and 253.68 is: 349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.16 : 470.34 = 253.68 : x
  2. Step 2: Convert to fraction form
    341.16/470.34 = 253.68/x
  3. Step 3: Cross multiply
    341.16x = 470.34 × 253.68
  4. Step 4: Simplify right side
    341.16x = 119,315.85
  5. Step 5: Solve for x
    x = 119,315.85/341.16
  6. Step 6: Final answer
    x = 349.74

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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.