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Finding the Fourth Proportional to 428.60, 590.76 and 297.32

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Solution

The fourth proportional to 428.60, 590.76 and 297.32 is: 409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.60 : 590.76 = 297.32 : x
  2. Step 2: Convert to fraction form
    428.60/590.76 = 297.32/x
  3. Step 3: Cross multiply
    428.60x = 590.76 × 297.32
  4. Step 4: Simplify right side
    428.60x = 175,644.76
  5. Step 5: Solve for x
    x = 175,644.76/428.60
  6. Step 6: Final answer
    x = 409.81

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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.