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Finding the Fourth Proportional to 286.04, 430.56 and 218.40

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Solution

The fourth proportional to 286.04, 430.56 and 218.40 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 430.56 = 218.40 : x
  2. Step 2: Convert to fraction form
    286.04/430.56 = 218.40/x
  3. Step 3: Cross multiply
    286.04x = 430.56 × 218.40
  4. Step 4: Simplify right side
    286.04x = 94,034.30
  5. Step 5: Solve for x
    x = 94,034.30/286.04
  6. Step 6: Final answer
    x = 328.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.