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Finding the Fourth Proportional to 309.88, 463.74 and 228.52

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Solution

The fourth proportional to 309.88, 463.74 and 228.52 is: 341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 463.74 = 228.52 : x
  2. Step 2: Convert to fraction form
    309.88/463.74 = 228.52/x
  3. Step 3: Cross multiply
    309.88x = 463.74 × 228.52
  4. Step 4: Simplify right side
    309.88x = 105,973.86
  5. Step 5: Solve for x
    x = 105,973.86/309.88
  6. Step 6: Final answer
    x = 341.98

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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.