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Finding the Fourth Proportional to 944.85, 1,417.14 and 397.17

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Solution

The fourth proportional to 944.85, 1,417.14 and 397.17 is: 595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.85 : 1,417.14 = 397.17 : x
  2. Step 2: Convert to fraction form
    944.85/1,417.14 = 397.17/x
  3. Step 3: Cross multiply
    944.85x = 1,417.14 × 397.17
  4. Step 4: Simplify right side
    944.85x = 562,845.49
  5. Step 5: Solve for x
    x = 562,845.49/944.85
  6. Step 6: Final answer
    x = 595.70

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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.