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Finding the Fourth Proportional to 503.87, 756.21 and 260.46

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Solution

The fourth proportional to 503.87, 756.21 and 260.46 is: 390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 756.21 = 260.46 : x
  2. Step 2: Convert to fraction form
    503.87/756.21 = 260.46/x
  3. Step 3: Cross multiply
    503.87x = 756.21 × 260.46
  4. Step 4: Simplify right side
    503.87x = 196,962.46
  5. Step 5: Solve for x
    x = 196,962.46/503.87
  6. Step 6: Final answer
    x = 390.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.