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Finding the Fourth Proportional to 695.24, 1,043.16 and 305.04

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Solution

The fourth proportional to 695.24, 1,043.16 and 305.04 is: 457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.24 : 1,043.16 = 305.04 : x
  2. Step 2: Convert to fraction form
    695.24/1,043.16 = 305.04/x
  3. Step 3: Cross multiply
    695.24x = 1,043.16 × 305.04
  4. Step 4: Simplify right side
    695.24x = 318,208.29
  5. Step 5: Solve for x
    x = 318,208.29/695.24
  6. Step 6: Final answer
    x = 457.69

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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.