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Finding the Fourth Proportional to 325.51, 485.92 and 284.50

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Solution

The fourth proportional to 325.51, 485.92 and 284.50 is: 424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.51 : 485.92 = 284.50 : x
  2. Step 2: Convert to fraction form
    325.51/485.92 = 284.50/x
  3. Step 3: Cross multiply
    325.51x = 485.92 × 284.50
  4. Step 4: Simplify right side
    325.51x = 138,244.24
  5. Step 5: Solve for x
    x = 138,244.24/325.51
  6. Step 6: Final answer
    x = 424.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.