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Finding the Fourth Proportional to 944.66, 1,417.02 and 396.08

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Solution

The fourth proportional to 944.66, 1,417.02 and 396.08 is: 594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.66 : 1,417.02 = 396.08 : x
  2. Step 2: Convert to fraction form
    944.66/1,417.02 = 396.08/x
  3. Step 3: Cross multiply
    944.66x = 1,417.02 × 396.08
  4. Step 4: Simplify right side
    944.66x = 561,253.28
  5. Step 5: Solve for x
    x = 561,253.28/944.66
  6. Step 6: Final answer
    x = 594.13

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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.