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Finding the Fourth Proportional to 507.08, 700.06 and 367.06

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Solution

The fourth proportional to 507.08, 700.06 and 367.06 is: 506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.08 : 700.06 = 367.06 : x
  2. Step 2: Convert to fraction form
    507.08/700.06 = 367.06/x
  3. Step 3: Cross multiply
    507.08x = 700.06 × 367.06
  4. Step 4: Simplify right side
    507.08x = 256,964.02
  5. Step 5: Solve for x
    x = 256,964.02/507.08
  6. Step 6: Final answer
    x = 506.75

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