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Finding the Fourth Proportional to 556, 767.46 and 359.51

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Solution

The fourth proportional to 556, 767.46 and 359.51 is: 496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556 : 767.46 = 359.51 : x
  2. Step 2: Convert to fraction form
    556/767.46 = 359.51/x
  3. Step 3: Cross multiply
    556x = 767.46 × 359.51
  4. Step 4: Simplify right side
    556x = 275,903.91
  5. Step 5: Solve for x
    x = 275,903.91/556
  6. Step 6: Final answer
    x = 496.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.