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Finding the Fourth Proportional to 457.33, 631.11 and 260.86

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Solution

The fourth proportional to 457.33, 631.11 and 260.86 is: 359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.33 : 631.11 = 260.86 : x
  2. Step 2: Convert to fraction form
    457.33/631.11 = 260.86/x
  3. Step 3: Cross multiply
    457.33x = 631.11 × 260.86
  4. Step 4: Simplify right side
    457.33x = 164,631.35
  5. Step 5: Solve for x
    x = 164,631.35/457.33
  6. Step 6: Final answer
    x = 359.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.