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Finding the Fourth Proportional to 294.66, 444.32 and 289.18

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Solution

The fourth proportional to 294.66, 444.32 and 289.18 is: 436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 444.32 = 289.18 : x
  2. Step 2: Convert to fraction form
    294.66/444.32 = 289.18/x
  3. Step 3: Cross multiply
    294.66x = 444.32 × 289.18
  4. Step 4: Simplify right side
    294.66x = 128,488.46
  5. Step 5: Solve for x
    x = 128,488.46/294.66
  6. Step 6: Final answer
    x = 436.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.