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Finding the Fourth Proportional to 428.84, 591.72 and 297.80

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Solution

The fourth proportional to 428.84, 591.72 and 297.80 is: 410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.84 : 591.72 = 297.80 : x
  2. Step 2: Convert to fraction form
    428.84/591.72 = 297.80/x
  3. Step 3: Cross multiply
    428.84x = 591.72 × 297.80
  4. Step 4: Simplify right side
    428.84x = 176,214.22
  5. Step 5: Solve for x
    x = 176,214.22/428.84
  6. Step 6: Final answer
    x = 410.91

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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.