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Finding the Fourth Proportional to 556.54, 767.55 and 416.99

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Solution

The fourth proportional to 556.54, 767.55 and 416.99 is: 575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.54 : 767.55 = 416.99 : x
  2. Step 2: Convert to fraction form
    556.54/767.55 = 416.99/x
  3. Step 3: Cross multiply
    556.54x = 767.55 × 416.99
  4. Step 4: Simplify right side
    556.54x = 320,056.84
  5. Step 5: Solve for x
    x = 320,056.84/556.54
  6. Step 6: Final answer
    x = 575.09

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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.