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Finding the Fourth Proportional to 509.42, 763.49 and 406.28

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Solution

The fourth proportional to 509.42, 763.49 and 406.28 is: 608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 763.49 = 406.28 : x
  2. Step 2: Convert to fraction form
    509.42/763.49 = 406.28/x
  3. Step 3: Cross multiply
    509.42x = 763.49 × 406.28
  4. Step 4: Simplify right side
    509.42x = 310,193.64
  5. Step 5: Solve for x
    x = 310,193.64/509.42
  6. Step 6: Final answer
    x = 608.91

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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.