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Finding the Fourth Proportional to 945.53, 1,417.48 and 368.27

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Solution

The fourth proportional to 945.53, 1,417.48 and 368.27 is: 552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.53 : 1,417.48 = 368.27 : x
  2. Step 2: Convert to fraction form
    945.53/1,417.48 = 368.27/x
  3. Step 3: Cross multiply
    945.53x = 1,417.48 × 368.27
  4. Step 4: Simplify right side
    945.53x = 522,015.36
  5. Step 5: Solve for x
    x = 522,015.36/945.53
  6. Step 6: Final answer
    x = 552.09

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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.