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Finding the Fourth Proportional to 458.88, 632.50 and 359.11

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Solution

The fourth proportional to 458.88, 632.50 and 359.11 is: 494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 632.50 = 359.11 : x
  2. Step 2: Convert to fraction form
    458.88/632.50 = 359.11/x
  3. Step 3: Cross multiply
    458.88x = 632.50 × 359.11
  4. Step 4: Simplify right side
    458.88x = 227,137.08
  5. Step 5: Solve for x
    x = 227,137.08/458.88
  6. Step 6: Final answer
    x = 494.98

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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.