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Finding the Fourth Proportional to 535.58, 738.83 and 369.89

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Solution

The fourth proportional to 535.58, 738.83 and 369.89 is: 510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.58 : 738.83 = 369.89 : x
  2. Step 2: Convert to fraction form
    535.58/738.83 = 369.89/x
  3. Step 3: Cross multiply
    535.58x = 738.83 × 369.89
  4. Step 4: Simplify right side
    535.58x = 273,285.83
  5. Step 5: Solve for x
    x = 273,285.83/535.58
  6. Step 6: Final answer
    x = 510.26

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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.