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Finding the Fourth Proportional to 428.20, 590.66 and 297

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Solution

The fourth proportional to 428.20, 590.66 and 297 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.20 : 590.66 = 297 : x
  2. Step 2: Convert to fraction form
    428.20/590.66 = 297/x
  3. Step 3: Cross multiply
    428.20x = 590.66 × 297
  4. Step 4: Simplify right side
    428.20x = 175,426.02
  5. Step 5: Solve for x
    x = 175,426.02/428.20
  6. Step 6: Final answer
    x = 409.68

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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.