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Finding the Fourth Proportional to 294.12, 438.58 and 279.76

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Solution

The fourth proportional to 294.12, 438.58 and 279.76 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.12 : 438.58 = 279.76 : x
  2. Step 2: Convert to fraction form
    294.12/438.58 = 279.76/x
  3. Step 3: Cross multiply
    294.12x = 438.58 × 279.76
  4. Step 4: Simplify right side
    294.12x = 122,697.14
  5. Step 5: Solve for x
    x = 122,697.14/294.12
  6. Step 6: Final answer
    x = 417.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.