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Finding the Fourth Proportional to 456.81, 630.40 and 260.31

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Solution

The fourth proportional to 456.81, 630.40 and 260.31 is: 359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.81 : 630.40 = 260.31 : x
  2. Step 2: Convert to fraction form
    456.81/630.40 = 260.31/x
  3. Step 3: Cross multiply
    456.81x = 630.40 × 260.31
  4. Step 4: Simplify right side
    456.81x = 164,099.42
  5. Step 5: Solve for x
    x = 164,099.42/456.81
  6. Step 6: Final answer
    x = 359.23

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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.