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Finding the Fourth Proportional to 630.17, 947.43 and 509.27

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Solution

The fourth proportional to 630.17, 947.43 and 509.27 is: 765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.17 : 947.43 = 509.27 : x
  2. Step 2: Convert to fraction form
    630.17/947.43 = 509.27/x
  3. Step 3: Cross multiply
    630.17x = 947.43 × 509.27
  4. Step 4: Simplify right side
    630.17x = 482,492.94
  5. Step 5: Solve for x
    x = 482,492.94/630.17
  6. Step 6: Final answer
    x = 765.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.