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Finding the Fourth Proportional to 341.40, 508.70 and 305.05

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Solution

The fourth proportional to 341.40, 508.70 and 305.05 is: 454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.40 : 508.70 = 305.05 : x
  2. Step 2: Convert to fraction form
    341.40/508.70 = 305.05/x
  3. Step 3: Cross multiply
    341.40x = 508.70 × 305.05
  4. Step 4: Simplify right side
    341.40x = 155,178.94
  5. Step 5: Solve for x
    x = 155,178.94/341.40
  6. Step 6: Final answer
    x = 454.54

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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.