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Finding the Fourth Proportional to 556.24, 767.61 and 304.17

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Solution

The fourth proportional to 556.24, 767.61 and 304.17 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.24 : 767.61 = 304.17 : x
  2. Step 2: Convert to fraction form
    556.24/767.61 = 304.17/x
  3. Step 3: Cross multiply
    556.24x = 767.61 × 304.17
  4. Step 4: Simplify right side
    556.24x = 233,478.57
  5. Step 5: Solve for x
    x = 233,478.57/556.24
  6. Step 6: Final answer
    x = 419.75

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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.