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Finding the Fourth Proportional to 362.29, 545.68 and 345.01

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Solution

The fourth proportional to 362.29, 545.68 and 345.01 is: 519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.29 : 545.68 = 345.01 : x
  2. Step 2: Convert to fraction form
    362.29/545.68 = 345.01/x
  3. Step 3: Cross multiply
    362.29x = 545.68 × 345.01
  4. Step 4: Simplify right side
    362.29x = 188,263.33
  5. Step 5: Solve for x
    x = 188,263.33/362.29
  6. Step 6: Final answer
    x = 519.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.