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Finding the Fourth Proportional to 545.79, 753.15 and 309.75

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Solution

The fourth proportional to 545.79, 753.15 and 309.75 is: 427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.79 : 753.15 = 309.75 : x
  2. Step 2: Convert to fraction form
    545.79/753.15 = 309.75/x
  3. Step 3: Cross multiply
    545.79x = 753.15 × 309.75
  4. Step 4: Simplify right side
    545.79x = 233,288.21
  5. Step 5: Solve for x
    x = 233,288.21/545.79
  6. Step 6: Final answer
    x = 427.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.