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Finding the Fourth Proportional to 496.52, 741.24 and 463.58

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Solution

The fourth proportional to 496.52, 741.24 and 463.58 is: 692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.52 : 741.24 = 463.58 : x
  2. Step 2: Convert to fraction form
    496.52/741.24 = 463.58/x
  3. Step 3: Cross multiply
    496.52x = 741.24 × 463.58
  4. Step 4: Simplify right side
    496.52x = 343,621.72
  5. Step 5: Solve for x
    x = 343,621.72/496.52
  6. Step 6: Final answer
    x = 692.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.