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Finding the Fourth Proportional to 1,530.25, 2,295.42 and 376

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Solution

The fourth proportional to 1,530.25, 2,295.42 and 376 is: 564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.25 : 2,295.42 = 376 : x
  2. Step 2: Convert to fraction form
    1,530.25/2,295.42 = 376/x
  3. Step 3: Cross multiply
    1,530.25x = 2,295.42 × 376
  4. Step 4: Simplify right side
    1,530.25x = 863,077.92
  5. Step 5: Solve for x
    x = 863,077.92/1,530.25
  6. Step 6: Final answer
    x = 564.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.