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Finding the Fourth Proportional to 457.05, 684.75 and 283.17

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Solution

The fourth proportional to 457.05, 684.75 and 283.17 is: 424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 684.75 = 283.17 : x
  2. Step 2: Convert to fraction form
    457.05/684.75 = 283.17/x
  3. Step 3: Cross multiply
    457.05x = 684.75 × 283.17
  4. Step 4: Simplify right side
    457.05x = 193,900.66
  5. Step 5: Solve for x
    x = 193,900.66/457.05
  6. Step 6: Final answer
    x = 424.24

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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.