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Finding the Fourth Proportional to 544.10, 814.35 and 421.70

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Solution

The fourth proportional to 544.10, 814.35 and 421.70 is: 631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.10 : 814.35 = 421.70 : x
  2. Step 2: Convert to fraction form
    544.10/814.35 = 421.70/x
  3. Step 3: Cross multiply
    544.10x = 814.35 × 421.70
  4. Step 4: Simplify right side
    544.10x = 343,411.40
  5. Step 5: Solve for x
    x = 343,411.40/544.10
  6. Step 6: Final answer
    x = 631.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.