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Finding the Fourth Proportional to 583.56, 878.82 and 526.44

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Solution

The fourth proportional to 583.56, 878.82 and 526.44 is: 792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.56 : 878.82 = 526.44 : x
  2. Step 2: Convert to fraction form
    583.56/878.82 = 526.44/x
  3. Step 3: Cross multiply
    583.56x = 878.82 × 526.44
  4. Step 4: Simplify right side
    583.56x = 462,646.00
  5. Step 5: Solve for x
    x = 462,646.00/583.56
  6. Step 6: Final answer
    x = 792.80

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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.