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Finding the Fourth Proportional to 457.53, 631.29 and 282.84

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Solution

The fourth proportional to 457.53, 631.29 and 282.84 is: 390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.53 : 631.29 = 282.84 : x
  2. Step 2: Convert to fraction form
    457.53/631.29 = 282.84/x
  3. Step 3: Cross multiply
    457.53x = 631.29 × 282.84
  4. Step 4: Simplify right side
    457.53x = 178,554.06
  5. Step 5: Solve for x
    x = 178,554.06/457.53
  6. Step 6: Final answer
    x = 390.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.