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Finding the Fourth Proportional to 945.57, 1,417.80 and 287.25

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Solution

The fourth proportional to 945.57, 1,417.80 and 287.25 is: 430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.57 : 1,417.80 = 287.25 : x
  2. Step 2: Convert to fraction form
    945.57/1,417.80 = 287.25/x
  3. Step 3: Cross multiply
    945.57x = 1,417.80 × 287.25
  4. Step 4: Simplify right side
    945.57x = 407,263.05
  5. Step 5: Solve for x
    x = 407,263.05/945.57
  6. Step 6: Final answer
    x = 430.71

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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.