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Finding the Fourth Proportional to 611.64, 916.02 and 466.20

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Solution

The fourth proportional to 611.64, 916.02 and 466.20 is: 698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 916.02 = 466.20 : x
  2. Step 2: Convert to fraction form
    611.64/916.02 = 466.20/x
  3. Step 3: Cross multiply
    611.64x = 916.02 × 466.20
  4. Step 4: Simplify right side
    611.64x = 427,048.52
  5. Step 5: Solve for x
    x = 427,048.52/611.64
  6. Step 6: Final answer
    x = 698.20

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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.