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Finding the Fourth Proportional to 507.14, 699.14 and 359.72

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Solution

The fourth proportional to 507.14, 699.14 and 359.72 is: 495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.14 : 699.14 = 359.72 : x
  2. Step 2: Convert to fraction form
    507.14/699.14 = 359.72/x
  3. Step 3: Cross multiply
    507.14x = 699.14 × 359.72
  4. Step 4: Simplify right side
    507.14x = 251,492.84
  5. Step 5: Solve for x
    x = 251,492.84/507.14
  6. Step 6: Final answer
    x = 495.90

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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.