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Finding the Fourth Proportional to 611, 916.63 and 286.19

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Solution

The fourth proportional to 611, 916.63 and 286.19 is: 429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611 : 916.63 = 286.19 : x
  2. Step 2: Convert to fraction form
    611/916.63 = 286.19/x
  3. Step 3: Cross multiply
    611x = 916.63 × 286.19
  4. Step 4: Simplify right side
    611x = 262,330.34
  5. Step 5: Solve for x
    x = 262,330.34/611
  6. Step 6: Final answer
    x = 429.35

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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.