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Finding the Fourth Proportional to 595.66, 822.46 and 464.44

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Solution

The fourth proportional to 595.66, 822.46 and 464.44 is: 641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.66 : 822.46 = 464.44 : x
  2. Step 2: Convert to fraction form
    595.66/822.46 = 464.44/x
  3. Step 3: Cross multiply
    595.66x = 822.46 × 464.44
  4. Step 4: Simplify right side
    595.66x = 381,983.32
  5. Step 5: Solve for x
    x = 381,983.32/595.66
  6. Step 6: Final answer
    x = 641.28

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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.