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Finding the Fourth Proportional to 582.48, 797.96 and 561.44

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Solution

The fourth proportional to 582.48, 797.96 and 561.44 is: 769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 797.96 = 561.44 : x
  2. Step 2: Convert to fraction form
    582.48/797.96 = 561.44/x
  3. Step 3: Cross multiply
    582.48x = 797.96 × 561.44
  4. Step 4: Simplify right side
    582.48x = 448,006.66
  5. Step 5: Solve for x
    x = 448,006.66/582.48
  6. Step 6: Final answer
    x = 769.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.