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Finding the Fourth Proportional to 945.63, 1,418.36 and 368.51

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Solution

The fourth proportional to 945.63, 1,418.36 and 368.51 is: 552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.63 : 1,418.36 = 368.51 : x
  2. Step 2: Convert to fraction form
    945.63/1,418.36 = 368.51/x
  3. Step 3: Cross multiply
    945.63x = 1,418.36 × 368.51
  4. Step 4: Simplify right side
    945.63x = 522,670.91
  5. Step 5: Solve for x
    x = 522,670.91/945.63
  6. Step 6: Final answer
    x = 552.72

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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.