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Finding the Fourth Proportional to 492.75, 740.47 and 460.64

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Solution

The fourth proportional to 492.75, 740.47 and 460.64 is: 692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 740.47 = 460.64 : x
  2. Step 2: Convert to fraction form
    492.75/740.47 = 460.64/x
  3. Step 3: Cross multiply
    492.75x = 740.47 × 460.64
  4. Step 4: Simplify right side
    492.75x = 341,090.10
  5. Step 5: Solve for x
    x = 341,090.10/492.75
  6. Step 6: Final answer
    x = 692.22

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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.