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Finding the Fourth Proportional to 487.49, 727.46 and 435.56

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Solution

The fourth proportional to 487.49, 727.46 and 435.56 is: 649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.49 : 727.46 = 435.56 : x
  2. Step 2: Convert to fraction form
    487.49/727.46 = 435.56/x
  3. Step 3: Cross multiply
    487.49x = 727.46 × 435.56
  4. Step 4: Simplify right side
    487.49x = 316,852.12
  5. Step 5: Solve for x
    x = 316,852.12/487.49
  6. Step 6: Final answer
    x = 649.97

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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.