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Finding the Fourth Proportional to 503.28, 753.48 and 364.74

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Solution

The fourth proportional to 503.28, 753.48 and 364.74 is: 546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.28 : 753.48 = 364.74 : x
  2. Step 2: Convert to fraction form
    503.28/753.48 = 364.74/x
  3. Step 3: Cross multiply
    503.28x = 753.48 × 364.74
  4. Step 4: Simplify right side
    503.28x = 274,824.30
  5. Step 5: Solve for x
    x = 274,824.30/503.28
  6. Step 6: Final answer
    x = 546.07

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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.