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Finding the Fourth Proportional to 507.09, 761.46 and 383.70

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Solution

The fourth proportional to 507.09, 761.46 and 383.70 is: 576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 761.46 = 383.70 : x
  2. Step 2: Convert to fraction form
    507.09/761.46 = 383.70/x
  3. Step 3: Cross multiply
    507.09x = 761.46 × 383.70
  4. Step 4: Simplify right side
    507.09x = 292,172.20
  5. Step 5: Solve for x
    x = 292,172.20/507.09
  6. Step 6: Final answer
    x = 576.17

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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.