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Finding the Fourth Proportional to 648.99, 972.42 and 340.52

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Solution

The fourth proportional to 648.99, 972.42 and 340.52 is: 510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.99 : 972.42 = 340.52 : x
  2. Step 2: Convert to fraction form
    648.99/972.42 = 340.52/x
  3. Step 3: Cross multiply
    648.99x = 972.42 × 340.52
  4. Step 4: Simplify right side
    648.99x = 331,123.60
  5. Step 5: Solve for x
    x = 331,123.60/648.99
  6. Step 6: Final answer
    x = 510.21

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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.