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Finding the Fourth Proportional to 582.44, 875.26 and 560.84

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Solution

The fourth proportional to 582.44, 875.26 and 560.84 is: 842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.44 : 875.26 = 560.84 : x
  2. Step 2: Convert to fraction form
    582.44/875.26 = 560.84/x
  3. Step 3: Cross multiply
    582.44x = 875.26 × 560.84
  4. Step 4: Simplify right side
    582.44x = 490,880.82
  5. Step 5: Solve for x
    x = 490,880.82/582.44
  6. Step 6: Final answer
    x = 842.80

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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.