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Finding the Fourth Proportional to 294.59, 405.65 and 253.08

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Solution

The fourth proportional to 294.59, 405.65 and 253.08 is: 348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.59 : 405.65 = 253.08 : x
  2. Step 2: Convert to fraction form
    294.59/405.65 = 253.08/x
  3. Step 3: Cross multiply
    294.59x = 405.65 × 253.08
  4. Step 4: Simplify right side
    294.59x = 102,660.64
  5. Step 5: Solve for x
    x = 102,660.64/294.59
  6. Step 6: Final answer
    x = 348.49

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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.