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Finding the Fourth Proportional to 341.36, 508.96 and 340.88

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Solution

The fourth proportional to 341.36, 508.96 and 340.88 is: 508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.36 : 508.96 = 340.88 : x
  2. Step 2: Convert to fraction form
    341.36/508.96 = 340.88/x
  3. Step 3: Cross multiply
    341.36x = 508.96 × 340.88
  4. Step 4: Simplify right side
    341.36x = 173,494.28
  5. Step 5: Solve for x
    x = 173,494.28/341.36
  6. Step 6: Final answer
    x = 508.24

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Why These Related Problems?

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