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Finding the Fourth Proportional to 457.65, 630.27 and 395.46

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Solution

The fourth proportional to 457.65, 630.27 and 395.46 is: 544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.65 : 630.27 = 395.46 : x
  2. Step 2: Convert to fraction form
    457.65/630.27 = 395.46/x
  3. Step 3: Cross multiply
    457.65x = 630.27 × 395.46
  4. Step 4: Simplify right side
    457.65x = 249,246.57
  5. Step 5: Solve for x
    x = 249,246.57/457.65
  6. Step 6: Final answer
    x = 544.62

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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.