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Finding the Fourth Proportional to 457.44, 687.07 and 284.40

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Solution

The fourth proportional to 457.44, 687.07 and 284.40 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.44 : 687.07 = 284.40 : x
  2. Step 2: Convert to fraction form
    457.44/687.07 = 284.40/x
  3. Step 3: Cross multiply
    457.44x = 687.07 × 284.40
  4. Step 4: Simplify right side
    457.44x = 195,402.71
  5. Step 5: Solve for x
    x = 195,402.71/457.44
  6. Step 6: Final answer
    x = 427.17

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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.