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Finding the Fourth Proportional to 545.06, 817.79 and 325.65

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Solution

The fourth proportional to 545.06, 817.79 and 325.65 is: 488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 817.79 = 325.65 : x
  2. Step 2: Convert to fraction form
    545.06/817.79 = 325.65/x
  3. Step 3: Cross multiply
    545.06x = 817.79 × 325.65
  4. Step 4: Simplify right side
    545.06x = 266,313.31
  5. Step 5: Solve for x
    x = 266,313.31/545.06
  6. Step 6: Final answer
    x = 488.59

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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.