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Finding the Fourth Proportional to 345.53, 476.57 and 308.23

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Solution

The fourth proportional to 345.53, 476.57 and 308.23 is: 425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.53 : 476.57 = 308.23 : x
  2. Step 2: Convert to fraction form
    345.53/476.57 = 308.23/x
  3. Step 3: Cross multiply
    345.53x = 476.57 × 308.23
  4. Step 4: Simplify right side
    345.53x = 146,892.75
  5. Step 5: Solve for x
    x = 146,892.75/345.53
  6. Step 6: Final answer
    x = 425.12

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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.