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Finding the Fourth Proportional to 477.44, 714.68 and 260.36

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Solution

The fourth proportional to 477.44, 714.68 and 260.36 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.44 : 714.68 = 260.36 : x
  2. Step 2: Convert to fraction form
    477.44/714.68 = 260.36/x
  3. Step 3: Cross multiply
    477.44x = 714.68 × 260.36
  4. Step 4: Simplify right side
    477.44x = 186,074.08
  5. Step 5: Solve for x
    x = 186,074.08/477.44
  6. Step 6: Final answer
    x = 389.73

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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.