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Finding the Fourth Proportional to 595.53, 822.29 and 464.85

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Solution

The fourth proportional to 595.53, 822.29 and 464.85 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.53 : 822.29 = 464.85 : x
  2. Step 2: Convert to fraction form
    595.53/822.29 = 464.85/x
  3. Step 3: Cross multiply
    595.53x = 822.29 × 464.85
  4. Step 4: Simplify right side
    595.53x = 382,239.18
  5. Step 5: Solve for x
    x = 382,239.18/595.53
  6. Step 6: Final answer
    x = 641.85

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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.