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Finding the Fourth Proportional to 494.09, 740.25 and 288.48

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Solution

The fourth proportional to 494.09, 740.25 and 288.48 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 740.25 = 288.48 : x
  2. Step 2: Convert to fraction form
    494.09/740.25 = 288.48/x
  3. Step 3: Cross multiply
    494.09x = 740.25 × 288.48
  4. Step 4: Simplify right side
    494.09x = 213,547.32
  5. Step 5: Solve for x
    x = 213,547.32/494.09
  6. Step 6: Final answer
    x = 432.21

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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.