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Finding the Fourth Proportional to 345.72, 476.98 and 205.77

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Solution

The fourth proportional to 345.72, 476.98 and 205.77 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.72 : 476.98 = 205.77 : x
  2. Step 2: Convert to fraction form
    345.72/476.98 = 205.77/x
  3. Step 3: Cross multiply
    345.72x = 476.98 × 205.77
  4. Step 4: Simplify right side
    345.72x = 98,148.17
  5. Step 5: Solve for x
    x = 98,148.17/345.72
  6. Step 6: Final answer
    x = 283.89

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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.