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Finding the Fourth Proportional to 461.60, 692.50 and 256.47

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Solution

The fourth proportional to 461.60, 692.50 and 256.47 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.60 : 692.50 = 256.47 : x
  2. Step 2: Convert to fraction form
    461.60/692.50 = 256.47/x
  3. Step 3: Cross multiply
    461.60x = 692.50 × 256.47
  4. Step 4: Simplify right side
    461.60x = 177,602.01
  5. Step 5: Solve for x
    x = 177,602.01/461.60
  6. Step 6: Final answer
    x = 384.75

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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.