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Finding the Fourth Proportional to 345.58, 476.88 and 205.70

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Solution

The fourth proportional to 345.58, 476.88 and 205.70 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.58 : 476.88 = 205.70 : x
  2. Step 2: Convert to fraction form
    345.58/476.88 = 205.70/x
  3. Step 3: Cross multiply
    345.58x = 476.88 × 205.70
  4. Step 4: Simplify right side
    345.58x = 98,094.22
  5. Step 5: Solve for x
    x = 98,094.22/345.58
  6. Step 6: Final answer
    x = 283.85

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