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Finding the Fourth Proportional to 305.95, 421.59 and 283.53

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Solution

The fourth proportional to 305.95, 421.59 and 283.53 is: 390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.95 : 421.59 = 283.53 : x
  2. Step 2: Convert to fraction form
    305.95/421.59 = 283.53/x
  3. Step 3: Cross multiply
    305.95x = 421.59 × 283.53
  4. Step 4: Simplify right side
    305.95x = 119,533.41
  5. Step 5: Solve for x
    x = 119,533.41/305.95
  6. Step 6: Final answer
    x = 390.70

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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.