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Finding the Fourth Proportional to 504.21, 757.64 and 260.89

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Solution

The fourth proportional to 504.21, 757.64 and 260.89 is: 392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.21 : 757.64 = 260.89 : x
  2. Step 2: Convert to fraction form
    504.21/757.64 = 260.89/x
  3. Step 3: Cross multiply
    504.21x = 757.64 × 260.89
  4. Step 4: Simplify right side
    504.21x = 197,660.70
  5. Step 5: Solve for x
    x = 197,660.70/504.21
  6. Step 6: Final answer
    x = 392.02

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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.