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Finding the Fourth Proportional to 461.62, 692.53 and 256.08

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Solution

The fourth proportional to 461.62, 692.53 and 256.08 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 692.53 = 256.08 : x
  2. Step 2: Convert to fraction form
    461.62/692.53 = 256.08/x
  3. Step 3: Cross multiply
    461.62x = 692.53 × 256.08
  4. Step 4: Simplify right side
    461.62x = 177,343.08
  5. Step 5: Solve for x
    x = 177,343.08/461.62
  6. Step 6: Final answer
    x = 384.18

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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.