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Finding the Fourth Proportional to 652.23, 972.30 and 642.24

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Solution

The fourth proportional to 652.23, 972.30 and 642.24 is: 957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 972.30 = 642.24 : x
  2. Step 2: Convert to fraction form
    652.23/972.30 = 642.24/x
  3. Step 3: Cross multiply
    652.23x = 972.30 × 642.24
  4. Step 4: Simplify right side
    652.23x = 624,449.95
  5. Step 5: Solve for x
    x = 624,449.95/652.23
  6. Step 6: Final answer
    x = 957.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.