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Finding the Fourth Proportional to 345.57, 476.95 and 205.64

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Solution

The fourth proportional to 345.57, 476.95 and 205.64 is: 283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.57 : 476.95 = 205.64 : x
  2. Step 2: Convert to fraction form
    345.57/476.95 = 205.64/x
  3. Step 3: Cross multiply
    345.57x = 476.95 × 205.64
  4. Step 4: Simplify right side
    345.57x = 98,080.00
  5. Step 5: Solve for x
    x = 98,080.00/345.57
  6. Step 6: Final answer
    x = 283.82

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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.