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Finding the Fourth Proportional to 600.92, 904.40 and 541.28

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Solution

The fourth proportional to 600.92, 904.40 and 541.28 is: 814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 904.40 = 541.28 : x
  2. Step 2: Convert to fraction form
    600.92/904.40 = 541.28/x
  3. Step 3: Cross multiply
    600.92x = 904.40 × 541.28
  4. Step 4: Simplify right side
    600.92x = 489,533.63
  5. Step 5: Solve for x
    x = 489,533.63/600.92
  6. Step 6: Final answer
    x = 814.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.