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Finding the Fourth Proportional to 1,530.42, 2,295.62 and 376.16

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Solution

The fourth proportional to 1,530.42, 2,295.62 and 376.16 is: 564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.42 : 2,295.62 = 376.16 : x
  2. Step 2: Convert to fraction form
    1,530.42/2,295.62 = 376.16/x
  3. Step 3: Cross multiply
    1,530.42x = 2,295.62 × 376.16
  4. Step 4: Simplify right side
    1,530.42x = 863,520.42
  5. Step 5: Solve for x
    x = 863,520.42/1,530.42
  6. Step 6: Final answer
    x = 564.24

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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.