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Finding the Fourth Proportional to 507.10, 699.71 and 294.34

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Solution

The fourth proportional to 507.10, 699.71 and 294.34 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.10 : 699.71 = 294.34 : x
  2. Step 2: Convert to fraction form
    507.10/699.71 = 294.34/x
  3. Step 3: Cross multiply
    507.10x = 699.71 × 294.34
  4. Step 4: Simplify right side
    507.10x = 205,949.14
  5. Step 5: Solve for x
    x = 205,949.14/507.10
  6. Step 6: Final answer
    x = 406.13

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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.