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Finding the Fourth Proportional to 595.25, 816.89 and 533.39

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Solution

The fourth proportional to 595.25, 816.89 and 533.39 is: 731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.25 : 816.89 = 533.39 : x
  2. Step 2: Convert to fraction form
    595.25/816.89 = 533.39/x
  3. Step 3: Cross multiply
    595.25x = 816.89 × 533.39
  4. Step 4: Simplify right side
    595.25x = 435,714.21
  5. Step 5: Solve for x
    x = 435,714.21/595.25
  6. Step 6: Final answer
    x = 731.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.