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Finding the Fourth Proportional to 611.40, 916.32 and 264.32

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Solution

The fourth proportional to 611.40, 916.32 and 264.32 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.40 : 916.32 = 264.32 : x
  2. Step 2: Convert to fraction form
    611.40/916.32 = 264.32/x
  3. Step 3: Cross multiply
    611.40x = 916.32 × 264.32
  4. Step 4: Simplify right side
    611.40x = 242,201.70
  5. Step 5: Solve for x
    x = 242,201.70/611.40
  6. Step 6: Final answer
    x = 396.14

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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.