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Finding the Fourth Proportional to 503.40, 754.68 and 260.04

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Solution

The fourth proportional to 503.40, 754.68 and 260.04 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 754.68 = 260.04 : x
  2. Step 2: Convert to fraction form
    503.40/754.68 = 260.04/x
  3. Step 3: Cross multiply
    503.40x = 754.68 × 260.04
  4. Step 4: Simplify right side
    503.40x = 196,246.99
  5. Step 5: Solve for x
    x = 196,246.99/503.40
  6. Step 6: Final answer
    x = 389.84

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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.