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Finding the Fourth Proportional to 582.36, 872.98 and 235.60

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Solution

The fourth proportional to 582.36, 872.98 and 235.60 is: 353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.36 : 872.98 = 235.60 : x
  2. Step 2: Convert to fraction form
    582.36/872.98 = 235.60/x
  3. Step 3: Cross multiply
    582.36x = 872.98 × 235.60
  4. Step 4: Simplify right side
    582.36x = 205,674.09
  5. Step 5: Solve for x
    x = 205,674.09/582.36
  6. Step 6: Final answer
    x = 353.17

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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.