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Finding the Fourth Proportional to 509.44, 763.76 and 304.10

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Solution

The fourth proportional to 509.44, 763.76 and 304.10 is: 455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.44 : 763.76 = 304.10 : x
  2. Step 2: Convert to fraction form
    509.44/763.76 = 304.10/x
  3. Step 3: Cross multiply
    509.44x = 763.76 × 304.10
  4. Step 4: Simplify right side
    509.44x = 232,259.42
  5. Step 5: Solve for x
    x = 232,259.42/509.44
  6. Step 6: Final answer
    x = 455.91

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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.