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Finding the Fourth Proportional to 945.10, 1,418 and 397.14

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Solution

The fourth proportional to 945.10, 1,418 and 397.14 is: 595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.10 : 1,418 = 397.14 : x
  2. Step 2: Convert to fraction form
    945.10/1,418 = 397.14/x
  3. Step 3: Cross multiply
    945.10x = 1,418 × 397.14
  4. Step 4: Simplify right side
    945.10x = 563,144.52
  5. Step 5: Solve for x
    x = 563,144.52/945.10
  6. Step 6: Final answer
    x = 595.86

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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.