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Finding the Fourth Proportional to 595.62, 822.69 and 421.74

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Solution

The fourth proportional to 595.62, 822.69 and 421.74 is: 582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.62 : 822.69 = 421.74 : x
  2. Step 2: Convert to fraction form
    595.62/822.69 = 421.74/x
  3. Step 3: Cross multiply
    595.62x = 822.69 × 421.74
  4. Step 4: Simplify right side
    595.62x = 346,961.28
  5. Step 5: Solve for x
    x = 346,961.28/595.62
  6. Step 6: Final answer
    x = 582.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.