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Finding the Fourth Proportional to 460.76, 692.01 and 256.01

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Solution

The fourth proportional to 460.76, 692.01 and 256.01 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.76 : 692.01 = 256.01 : x
  2. Step 2: Convert to fraction form
    460.76/692.01 = 256.01/x
  3. Step 3: Cross multiply
    460.76x = 692.01 × 256.01
  4. Step 4: Simplify right side
    460.76x = 177,158.02
  5. Step 5: Solve for x
    x = 177,158.02/460.76
  6. Step 6: Final answer
    x = 384.50

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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.