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Finding the Fourth Proportional to 457.34, 631.08 and 260.82

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Solution

The fourth proportional to 457.34, 631.08 and 260.82 is: 359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.34 : 631.08 = 260.82 : x
  2. Step 2: Convert to fraction form
    457.34/631.08 = 260.82/x
  3. Step 3: Cross multiply
    457.34x = 631.08 × 260.82
  4. Step 4: Simplify right side
    457.34x = 164,598.29
  5. Step 5: Solve for x
    x = 164,598.29/457.34
  6. Step 6: Final answer
    x = 359.91

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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.