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Finding the Fourth Proportional to 545.51, 818.47 and 253.15

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Solution

The fourth proportional to 545.51, 818.47 and 253.15 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.51 : 818.47 = 253.15 : x
  2. Step 2: Convert to fraction form
    545.51/818.47 = 253.15/x
  3. Step 3: Cross multiply
    545.51x = 818.47 × 253.15
  4. Step 4: Simplify right side
    545.51x = 207,195.68
  5. Step 5: Solve for x
    x = 207,195.68/545.51
  6. Step 6: Final answer
    x = 379.82

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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.