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Finding the Fourth Proportional to 582.79, 873.53 and 235.91

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Solution

The fourth proportional to 582.79, 873.53 and 235.91 is: 353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.79 : 873.53 = 235.91 : x
  2. Step 2: Convert to fraction form
    582.79/873.53 = 235.91/x
  3. Step 3: Cross multiply
    582.79x = 873.53 × 235.91
  4. Step 4: Simplify right side
    582.79x = 206,068.92
  5. Step 5: Solve for x
    x = 206,068.92/582.79
  6. Step 6: Final answer
    x = 353.59

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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.