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Finding the Fourth Proportional to 298.84, 448.80 and 230.53

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Solution

The fourth proportional to 298.84, 448.80 and 230.53 is: 346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.84 : 448.80 = 230.53 : x
  2. Step 2: Convert to fraction form
    298.84/448.80 = 230.53/x
  3. Step 3: Cross multiply
    298.84x = 448.80 × 230.53
  4. Step 4: Simplify right side
    298.84x = 103,461.86
  5. Step 5: Solve for x
    x = 103,461.86/298.84
  6. Step 6: Final answer
    x = 346.21

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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.