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Finding the Fourth Proportional to 457.39, 631.07 and 260.83

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Solution

The fourth proportional to 457.39, 631.07 and 260.83 is: 359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.39 : 631.07 = 260.83 : x
  2. Step 2: Convert to fraction form
    457.39/631.07 = 260.83/x
  3. Step 3: Cross multiply
    457.39x = 631.07 × 260.83
  4. Step 4: Simplify right side
    457.39x = 164,598.83
  5. Step 5: Solve for x
    x = 164,598.83/457.39
  6. Step 6: Final answer
    x = 359.87

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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.