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Finding the Fourth Proportional to 520.48, 718.23 and 284.41

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Solution

The fourth proportional to 520.48, 718.23 and 284.41 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.48 : 718.23 = 284.41 : x
  2. Step 2: Convert to fraction form
    520.48/718.23 = 284.41/x
  3. Step 3: Cross multiply
    520.48x = 718.23 × 284.41
  4. Step 4: Simplify right side
    520.48x = 204,271.79
  5. Step 5: Solve for x
    x = 204,271.79/520.48
  6. Step 6: Final answer
    x = 392.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.