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Finding the Fourth Proportional to 594.60, 891.90 and 421.80

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Solution

The fourth proportional to 594.60, 891.90 and 421.80 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.60 : 891.90 = 421.80 : x
  2. Step 2: Convert to fraction form
    594.60/891.90 = 421.80/x
  3. Step 3: Cross multiply
    594.60x = 891.90 × 421.80
  4. Step 4: Simplify right side
    594.60x = 376,203.42
  5. Step 5: Solve for x
    x = 376,203.42/594.60
  6. Step 6: Final answer
    x = 632.70

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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.