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Finding the Fourth Proportional to 345.46, 476.96 and 256.96

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Solution

The fourth proportional to 345.46, 476.96 and 256.96 is: 354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.46 : 476.96 = 256.96 : x
  2. Step 2: Convert to fraction form
    345.46/476.96 = 256.96/x
  3. Step 3: Cross multiply
    345.46x = 476.96 × 256.96
  4. Step 4: Simplify right side
    345.46x = 122,559.64
  5. Step 5: Solve for x
    x = 122,559.64/345.46
  6. Step 6: Final answer
    x = 354.77

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Why These Related Problems?

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