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Finding the Fourth Proportional to 469.71, 648.12 and 283.19

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Solution

The fourth proportional to 469.71, 648.12 and 283.19 is: 390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.71 : 648.12 = 283.19 : x
  2. Step 2: Convert to fraction form
    469.71/648.12 = 283.19/x
  3. Step 3: Cross multiply
    469.71x = 648.12 × 283.19
  4. Step 4: Simplify right side
    469.71x = 183,537.86
  5. Step 5: Solve for x
    x = 183,537.86/469.71
  6. Step 6: Final answer
    x = 390.75

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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.