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Finding the Fourth Proportional to 611.56, 917.67 and 286.93

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Solution

The fourth proportional to 611.56, 917.67 and 286.93 is: 430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.56 : 917.67 = 286.93 : x
  2. Step 2: Convert to fraction form
    611.56/917.67 = 286.93/x
  3. Step 3: Cross multiply
    611.56x = 917.67 × 286.93
  4. Step 4: Simplify right side
    611.56x = 263,307.05
  5. Step 5: Solve for x
    x = 263,307.05/611.56
  6. Step 6: Final answer
    x = 430.55

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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.