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Finding the Fourth Proportional to 294.68, 405.66 and 257.66

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Solution

The fourth proportional to 294.68, 405.66 and 257.66 is: 354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 405.66 = 257.66 : x
  2. Step 2: Convert to fraction form
    294.68/405.66 = 257.66/x
  3. Step 3: Cross multiply
    294.68x = 405.66 × 257.66
  4. Step 4: Simplify right side
    294.68x = 104,522.36
  5. Step 5: Solve for x
    x = 104,522.36/294.68
  6. Step 6: Final answer
    x = 354.70

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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.