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Finding the Fourth Proportional to 545.34, 816.86 and 506.42

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Solution

The fourth proportional to 545.34, 816.86 and 506.42 is: 758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.34 : 816.86 = 506.42 : x
  2. Step 2: Convert to fraction form
    545.34/816.86 = 506.42/x
  3. Step 3: Cross multiply
    545.34x = 816.86 × 506.42
  4. Step 4: Simplify right side
    545.34x = 413,674.24
  5. Step 5: Solve for x
    x = 413,674.24/545.34
  6. Step 6: Final answer
    x = 758.56

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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.