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Finding the Fourth Proportional to 945.07, 1,417.91 and 397.27

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Solution

The fourth proportional to 945.07, 1,417.91 and 397.27 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.07 : 1,417.91 = 397.27 : x
  2. Step 2: Convert to fraction form
    945.07/1,417.91 = 397.27/x
  3. Step 3: Cross multiply
    945.07x = 1,417.91 × 397.27
  4. Step 4: Simplify right side
    945.07x = 563,292.89
  5. Step 5: Solve for x
    x = 563,292.89/945.07
  6. Step 6: Final answer
    x = 596.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.