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Finding the Fourth Proportional to 945.06, 1,416.30 and 397.09

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Solution

The fourth proportional to 945.06, 1,416.30 and 397.09 is: 595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.06 : 1,416.30 = 397.09 : x
  2. Step 2: Convert to fraction form
    945.06/1,416.30 = 397.09/x
  3. Step 3: Cross multiply
    945.06x = 1,416.30 × 397.09
  4. Step 4: Simplify right side
    945.06x = 562,398.57
  5. Step 5: Solve for x
    x = 562,398.57/945.06
  6. Step 6: Final answer
    x = 595.09

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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.