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Finding the Fourth Proportional to 611.12, 916.54 and 364.39

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Solution

The fourth proportional to 611.12, 916.54 and 364.39 is: 546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.12 : 916.54 = 364.39 : x
  2. Step 2: Convert to fraction form
    611.12/916.54 = 364.39/x
  3. Step 3: Cross multiply
    611.12x = 916.54 × 364.39
  4. Step 4: Simplify right side
    611.12x = 333,981.45
  5. Step 5: Solve for x
    x = 333,981.45/611.12
  6. Step 6: Final answer
    x = 546.51

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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.