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Finding the Fourth Proportional to 458.42, 632.58 and 259.25

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Solution

The fourth proportional to 458.42, 632.58 and 259.25 is: 357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 632.58 = 259.25 : x
  2. Step 2: Convert to fraction form
    458.42/632.58 = 259.25/x
  3. Step 3: Cross multiply
    458.42x = 632.58 × 259.25
  4. Step 4: Simplify right side
    458.42x = 163,993.20
  5. Step 5: Solve for x
    x = 163,993.20/458.42
  6. Step 6: Final answer
    x = 357.74

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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.