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Finding the Fourth Proportional to 507.05, 699.32 and 332.36

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Solution

The fourth proportional to 507.05, 699.32 and 332.36 is: 458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.05 : 699.32 = 332.36 : x
  2. Step 2: Convert to fraction form
    507.05/699.32 = 332.36/x
  3. Step 3: Cross multiply
    507.05x = 699.32 × 332.36
  4. Step 4: Simplify right side
    507.05x = 232,423.33
  5. Step 5: Solve for x
    x = 232,423.33/507.05
  6. Step 6: Final answer
    x = 458.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.