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Finding the Fourth Proportional to 545.51, 816.89 and 301.77

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Solution

The fourth proportional to 545.51, 816.89 and 301.77 is: 451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.51 : 816.89 = 301.77 : x
  2. Step 2: Convert to fraction form
    545.51/816.89 = 301.77/x
  3. Step 3: Cross multiply
    545.51x = 816.89 × 301.77
  4. Step 4: Simplify right side
    545.51x = 246,511.39
  5. Step 5: Solve for x
    x = 246,511.39/545.51
  6. Step 6: Final answer
    x = 451.89

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1.5x scale

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.