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Finding the Fourth Proportional to 428.62, 590.90 and 297.40

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Solution

The fourth proportional to 428.62, 590.90 and 297.40 is: 410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.62 : 590.90 = 297.40 : x
  2. Step 2: Convert to fraction form
    428.62/590.90 = 297.40/x
  3. Step 3: Cross multiply
    428.62x = 590.90 × 297.40
  4. Step 4: Simplify right side
    428.62x = 175,733.66
  5. Step 5: Solve for x
    x = 175,733.66/428.62
  6. Step 6: Final answer
    x = 410.00

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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.