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Finding the Fourth Proportional to 475.65, 712.32 and 365.83

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Solution

The fourth proportional to 475.65, 712.32 and 365.83 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.65 : 712.32 = 365.83 : x
  2. Step 2: Convert to fraction form
    475.65/712.32 = 365.83/x
  3. Step 3: Cross multiply
    475.65x = 712.32 × 365.83
  4. Step 4: Simplify right side
    475.65x = 260,584.46
  5. Step 5: Solve for x
    x = 260,584.46/475.65
  6. Step 6: Final answer
    x = 547.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.