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Finding the Fourth Proportional to 494.04, 740.97 and 358.23

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Solution

The fourth proportional to 494.04, 740.97 and 358.23 is: 537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.04 : 740.97 = 358.23 : x
  2. Step 2: Convert to fraction form
    494.04/740.97 = 358.23/x
  3. Step 3: Cross multiply
    494.04x = 740.97 × 358.23
  4. Step 4: Simplify right side
    494.04x = 265,437.68
  5. Step 5: Solve for x
    x = 265,437.68/494.04
  6. Step 6: Final answer
    x = 537.28

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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.