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Finding the Fourth Proportional to 545.74, 753.06 and 309.67

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Solution

The fourth proportional to 545.74, 753.06 and 309.67 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.74 : 753.06 = 309.67 : x
  2. Step 2: Convert to fraction form
    545.74/753.06 = 309.67/x
  3. Step 3: Cross multiply
    545.74x = 753.06 × 309.67
  4. Step 4: Simplify right side
    545.74x = 233,200.09
  5. Step 5: Solve for x
    x = 233,200.09/545.74
  6. Step 6: Final answer
    x = 427.31

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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.