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Finding the Fourth Proportional to 509.14, 700.68 and 487.27

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Solution

The fourth proportional to 509.14, 700.68 and 487.27 is: 670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 700.68 = 487.27 : x
  2. Step 2: Convert to fraction form
    509.14/700.68 = 487.27/x
  3. Step 3: Cross multiply
    509.14x = 700.68 × 487.27
  4. Step 4: Simplify right side
    509.14x = 341,420.34
  5. Step 5: Solve for x
    x = 341,420.34/509.14
  6. Step 6: Final answer
    x = 670.58

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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.