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Finding the Fourth Proportional to 420.62, 631.84 and 355.75

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Solution

The fourth proportional to 420.62, 631.84 and 355.75 is: 534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.62 : 631.84 = 355.75 : x
  2. Step 2: Convert to fraction form
    420.62/631.84 = 355.75/x
  3. Step 3: Cross multiply
    420.62x = 631.84 × 355.75
  4. Step 4: Simplify right side
    420.62x = 224,774.61
  5. Step 5: Solve for x
    x = 224,774.61/420.62
  6. Step 6: Final answer
    x = 534.39

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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.