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Finding the Fourth Proportional to 582.83, 878.44 and 558.13

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Solution

The fourth proportional to 582.83, 878.44 and 558.13 is: 841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 878.44 = 558.13 : x
  2. Step 2: Convert to fraction form
    582.83/878.44 = 558.13/x
  3. Step 3: Cross multiply
    582.83x = 878.44 × 558.13
  4. Step 4: Simplify right side
    582.83x = 490,283.72
  5. Step 5: Solve for x
    x = 490,283.72/582.83
  6. Step 6: Final answer
    x = 841.21

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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.