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Finding the Fourth Proportional to 582.07, 873.41 and 351.53

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Solution

The fourth proportional to 582.07, 873.41 and 351.53 is: 527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.07 : 873.41 = 351.53 : x
  2. Step 2: Convert to fraction form
    582.07/873.41 = 351.53/x
  3. Step 3: Cross multiply
    582.07x = 873.41 × 351.53
  4. Step 4: Simplify right side
    582.07x = 307,029.82
  5. Step 5: Solve for x
    x = 307,029.82/582.07
  6. Step 6: Final answer
    x = 527.48

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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.