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Finding the Fourth Proportional to 428.69, 591.54 and 297.74

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Solution

The fourth proportional to 428.69, 591.54 and 297.74 is: 410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.69 : 591.54 = 297.74 : x
  2. Step 2: Convert to fraction form
    428.69/591.54 = 297.74/x
  3. Step 3: Cross multiply
    428.69x = 591.54 × 297.74
  4. Step 4: Simplify right side
    428.69x = 176,125.12
  5. Step 5: Solve for x
    x = 176,125.12/428.69
  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.