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Finding the Fourth Proportional to 944.88, 1,417.04 and 397.05

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Solution

The fourth proportional to 944.88, 1,417.04 and 397.05 is: 595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.88 : 1,417.04 = 397.05 : x
  2. Step 2: Convert to fraction form
    944.88/1,417.04 = 397.05/x
  3. Step 3: Cross multiply
    944.88x = 1,417.04 × 397.05
  4. Step 4: Simplify right side
    944.88x = 562,635.73
  5. Step 5: Solve for x
    x = 562,635.73/944.88
  6. Step 6: Final answer
    x = 595.46

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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.