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Finding the Fourth Proportional to 556.29, 767.07 and 414.54

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Solution

The fourth proportional to 556.29, 767.07 and 414.54 is: 571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 767.07 = 414.54 : x
  2. Step 2: Convert to fraction form
    556.29/767.07 = 414.54/x
  3. Step 3: Cross multiply
    556.29x = 767.07 × 414.54
  4. Step 4: Simplify right side
    556.29x = 317,981.20
  5. Step 5: Solve for x
    x = 317,981.20/556.29
  6. Step 6: Final answer
    x = 571.61

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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.