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Finding the Fourth Proportional to 584.64, 878.40 and 577.44

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Solution

The fourth proportional to 584.64, 878.40 and 577.44 is: 867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 878.40 = 577.44 : x
  2. Step 2: Convert to fraction form
    584.64/878.40 = 577.44/x
  3. Step 3: Cross multiply
    584.64x = 878.40 × 577.44
  4. Step 4: Simplify right side
    584.64x = 507,223.30
  5. Step 5: Solve for x
    x = 507,223.30/584.64
  6. Step 6: Final answer
    x = 867.58

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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.