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Finding the Fourth Proportional to 421.51, 632.72 and 319.90

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Solution

The fourth proportional to 421.51, 632.72 and 319.90 is: 480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.51 : 632.72 = 319.90 : x
  2. Step 2: Convert to fraction form
    421.51/632.72 = 319.90/x
  3. Step 3: Cross multiply
    421.51x = 632.72 × 319.90
  4. Step 4: Simplify right side
    421.51x = 202,405.53
  5. Step 5: Solve for x
    x = 202,405.53/421.51
  6. Step 6: Final answer
    x = 480.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.