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Finding the Fourth Proportional to 294.65, 405.80 and 288.28

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Solution

The fourth proportional to 294.65, 405.80 and 288.28 is: 397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.65 : 405.80 = 288.28 : x
  2. Step 2: Convert to fraction form
    294.65/405.80 = 288.28/x
  3. Step 3: Cross multiply
    294.65x = 405.80 × 288.28
  4. Step 4: Simplify right side
    294.65x = 116,980.55
  5. Step 5: Solve for x
    x = 116,980.55/294.65
  6. Step 6: Final answer
    x = 397.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.