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Finding the Fourth Proportional to 594.80, 891.76 and 282.48

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Solution

The fourth proportional to 594.80, 891.76 and 282.48 is: 423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 891.76 = 282.48 : x
  2. Step 2: Convert to fraction form
    594.80/891.76 = 282.48/x
  3. Step 3: Cross multiply
    594.80x = 891.76 × 282.48
  4. Step 4: Simplify right side
    594.80x = 251,904.36
  5. Step 5: Solve for x
    x = 251,904.36/594.80
  6. Step 6: Final answer
    x = 423.51

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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.