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Finding the Fourth Proportional to 694.66, 1,041.75 and 304.90

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Solution

The fourth proportional to 694.66, 1,041.75 and 304.90 is: 457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.66 : 1,041.75 = 304.90 : x
  2. Step 2: Convert to fraction form
    694.66/1,041.75 = 304.90/x
  3. Step 3: Cross multiply
    694.66x = 1,041.75 × 304.90
  4. Step 4: Simplify right side
    694.66x = 317,629.58
  5. Step 5: Solve for x
    x = 317,629.58/694.66
  6. Step 6: Final answer
    x = 457.24

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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.