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Finding the Fourth Proportional to 595.78, 892.69 and 421.59

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Solution

The fourth proportional to 595.78, 892.69 and 421.59 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.78 : 892.69 = 421.59 : x
  2. Step 2: Convert to fraction form
    595.78/892.69 = 421.59/x
  3. Step 3: Cross multiply
    595.78x = 892.69 × 421.59
  4. Step 4: Simplify right side
    595.78x = 376,342.61
  5. Step 5: Solve for x
    x = 376,342.61/595.78
  6. Step 6: Final answer
    x = 631.68

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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.