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Finding the Fourth Proportional to 497.30, 742.26 and 466.52

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Solution

The fourth proportional to 497.30, 742.26 and 466.52 is: 696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 742.26 = 466.52 : x
  2. Step 2: Convert to fraction form
    497.30/742.26 = 466.52/x
  3. Step 3: Cross multiply
    497.30x = 742.26 × 466.52
  4. Step 4: Simplify right side
    497.30x = 346,275.42
  5. Step 5: Solve for x
    x = 346,275.42/497.30
  6. Step 6: Final answer
    x = 696.32

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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.