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Finding the Fourth Proportional to 1,530.44, 2,295.30 and 434.90

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Solution

The fourth proportional to 1,530.44, 2,295.30 and 434.90 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.44 : 2,295.30 = 434.90 : x
  2. Step 2: Convert to fraction form
    1,530.44/2,295.30 = 434.90/x
  3. Step 3: Cross multiply
    1,530.44x = 2,295.30 × 434.90
  4. Step 4: Simplify right side
    1,530.44x = 998,225.97
  5. Step 5: Solve for x
    x = 998,225.97/1,530.44
  6. Step 6: Final answer
    x = 652.25

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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.