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Finding the Fourth Proportional to 611.55, 916.92 and 286.65

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Solution

The fourth proportional to 611.55, 916.92 and 286.65 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.55 : 916.92 = 286.65 : x
  2. Step 2: Convert to fraction form
    611.55/916.92 = 286.65/x
  3. Step 3: Cross multiply
    611.55x = 916.92 × 286.65
  4. Step 4: Simplify right side
    611.55x = 262,835.12
  5. Step 5: Solve for x
    x = 262,835.12/611.55
  6. Step 6: Final answer
    x = 429.79

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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.