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Finding the Fourth Proportional to 457.19, 630.89 and 260.75

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Solution

The fourth proportional to 457.19, 630.89 and 260.75 is: 359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.19 : 630.89 = 260.75 : x
  2. Step 2: Convert to fraction form
    457.19/630.89 = 260.75/x
  3. Step 3: Cross multiply
    457.19x = 630.89 × 260.75
  4. Step 4: Simplify right side
    457.19x = 164,503.26
  5. Step 5: Solve for x
    x = 164,503.26/457.19
  6. Step 6: Final answer
    x = 359.81

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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.