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Finding the Fourth Proportional to 473.28, 652.80 and 369.60

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Solution

The fourth proportional to 473.28, 652.80 and 369.60 is: 509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 652.80 = 369.60 : x
  2. Step 2: Convert to fraction form
    473.28/652.80 = 369.60/x
  3. Step 3: Cross multiply
    473.28x = 652.80 × 369.60
  4. Step 4: Simplify right side
    473.28x = 241,274.88
  5. Step 5: Solve for x
    x = 241,274.88/473.28
  6. Step 6: Final answer
    x = 509.79

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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.