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Finding the Fourth Proportional to 944.46, 1,417.16 and 424.83

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Solution

The fourth proportional to 944.46, 1,417.16 and 424.83 is: 637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.46 : 1,417.16 = 424.83 : x
  2. Step 2: Convert to fraction form
    944.46/1,417.16 = 424.83/x
  3. Step 3: Cross multiply
    944.46x = 1,417.16 × 424.83
  4. Step 4: Simplify right side
    944.46x = 602,052.08
  5. Step 5: Solve for x
    x = 602,052.08/944.46
  6. Step 6: Final answer
    x = 637.46

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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.