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Finding the Fourth Proportional to 292.34, 437.67 and 228.02

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Solution

The fourth proportional to 292.34, 437.67 and 228.02 is: 341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.34 : 437.67 = 228.02 : x
  2. Step 2: Convert to fraction form
    292.34/437.67 = 228.02/x
  3. Step 3: Cross multiply
    292.34x = 437.67 × 228.02
  4. Step 4: Simplify right side
    292.34x = 99,797.51
  5. Step 5: Solve for x
    x = 99,797.51/292.34
  6. Step 6: Final answer
    x = 341.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.