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Finding the Fourth Proportional to 596.06, 820.77 and 533.69

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Solution

The fourth proportional to 596.06, 820.77 and 533.69 is: 734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.06 : 820.77 = 533.69 : x
  2. Step 2: Convert to fraction form
    596.06/820.77 = 533.69/x
  3. Step 3: Cross multiply
    596.06x = 820.77 × 533.69
  4. Step 4: Simplify right side
    596.06x = 438,036.74
  5. Step 5: Solve for x
    x = 438,036.74/596.06
  6. Step 6: Final answer
    x = 734.89

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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.