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Finding the Fourth Proportional to 648.99, 973.23 and 283.52

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Solution

The fourth proportional to 648.99, 973.23 and 283.52 is: 425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.99 : 973.23 = 283.52 : x
  2. Step 2: Convert to fraction form
    648.99/973.23 = 283.52/x
  3. Step 3: Cross multiply
    648.99x = 973.23 × 283.52
  4. Step 4: Simplify right side
    648.99x = 275,934.96
  5. Step 5: Solve for x
    x = 275,934.96/648.99
  6. Step 6: Final answer
    x = 425.17

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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.