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Finding the Fourth Proportional to 1,532.30, 2,298.02 and 421.44

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Solution

The fourth proportional to 1,532.30, 2,298.02 and 421.44 is: 632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.30 : 2,298.02 = 421.44 : x
  2. Step 2: Convert to fraction form
    1,532.30/2,298.02 = 421.44/x
  3. Step 3: Cross multiply
    1,532.30x = 2,298.02 × 421.44
  4. Step 4: Simplify right side
    1,532.30x = 968,475.44
  5. Step 5: Solve for x
    x = 968,475.44/1,532.30
  6. Step 6: Final answer
    x = 632.04

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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.