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Finding the Fourth Proportional to 502.04, 756.75 and 460.44

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Solution

The fourth proportional to 502.04, 756.75 and 460.44 is: 694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.04 : 756.75 = 460.44 : x
  2. Step 2: Convert to fraction form
    502.04/756.75 = 460.44/x
  3. Step 3: Cross multiply
    502.04x = 756.75 × 460.44
  4. Step 4: Simplify right side
    502.04x = 348,437.97
  5. Step 5: Solve for x
    x = 348,437.97/502.04
  6. Step 6: Final answer
    x = 694.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.