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Finding the Fourth Proportional to 534.25, 801.64 and 245.89

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Solution

The fourth proportional to 534.25, 801.64 and 245.89 is: 368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.25 : 801.64 = 245.89 : x
  2. Step 2: Convert to fraction form
    534.25/801.64 = 245.89/x
  3. Step 3: Cross multiply
    534.25x = 801.64 × 245.89
  4. Step 4: Simplify right side
    534.25x = 197,111.25
  5. Step 5: Solve for x
    x = 197,111.25/534.25
  6. Step 6: Final answer
    x = 368.95

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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.