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Finding the Fourth Proportional to 577.19, 866.24 and 526.16

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Solution

The fourth proportional to 577.19, 866.24 and 526.16 is: 789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.19 : 866.24 = 526.16 : x
  2. Step 2: Convert to fraction form
    577.19/866.24 = 526.16/x
  3. Step 3: Cross multiply
    577.19x = 866.24 × 526.16
  4. Step 4: Simplify right side
    577.19x = 455,773.88
  5. Step 5: Solve for x
    x = 455,773.88/577.19
  6. Step 6: Final answer
    x = 789.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.