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Finding the Fourth Proportional to 345.13, 476.36 and 205.32

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Solution

The fourth proportional to 345.13, 476.36 and 205.32 is: 283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.13 : 476.36 = 205.32 : x
  2. Step 2: Convert to fraction form
    345.13/476.36 = 205.32/x
  3. Step 3: Cross multiply
    345.13x = 476.36 × 205.32
  4. Step 4: Simplify right side
    345.13x = 97,805.21
  5. Step 5: Solve for x
    x = 97,805.21/345.13
  6. Step 6: Final answer
    x = 283.39

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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.