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Finding the Fourth Proportional to 521.76, 785.55 and 360.51

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Solution

The fourth proportional to 521.76, 785.55 and 360.51 is: 542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.76 : 785.55 = 360.51 : x
  2. Step 2: Convert to fraction form
    521.76/785.55 = 360.51/x
  3. Step 3: Cross multiply
    521.76x = 785.55 × 360.51
  4. Step 4: Simplify right side
    521.76x = 283,198.63
  5. Step 5: Solve for x
    x = 283,198.63/521.76
  6. Step 6: Final answer
    x = 542.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.