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Finding the Fourth Proportional to 428.96, 591.50 and 297.95

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Solution

The fourth proportional to 428.96, 591.50 and 297.95 is: 410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.96 : 591.50 = 297.95 : x
  2. Step 2: Convert to fraction form
    428.96/591.50 = 297.95/x
  3. Step 3: Cross multiply
    428.96x = 591.50 × 297.95
  4. Step 4: Simplify right side
    428.96x = 176,235.21
  5. Step 5: Solve for x
    x = 176,235.21/428.96
  6. Step 6: Final answer
    x = 410.84

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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.