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Finding the Fourth Proportional to 428.52, 590.88 and 297.48

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Solution

The fourth proportional to 428.52, 590.88 and 297.48 is: 410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.52 : 590.88 = 297.48 : x
  2. Step 2: Convert to fraction form
    428.52/590.88 = 297.48/x
  3. Step 3: Cross multiply
    428.52x = 590.88 × 297.48
  4. Step 4: Simplify right side
    428.52x = 175,774.98
  5. Step 5: Solve for x
    x = 175,774.98/428.52
  6. Step 6: Final answer
    x = 410.19

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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.