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Finding the Fourth Proportional to 601.84, 830.68 and 380.98

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Solution

The fourth proportional to 601.84, 830.68 and 380.98 is: 525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.84 : 830.68 = 380.98 : x
  2. Step 2: Convert to fraction form
    601.84/830.68 = 380.98/x
  3. Step 3: Cross multiply
    601.84x = 830.68 × 380.98
  4. Step 4: Simplify right side
    601.84x = 316,472.47
  5. Step 5: Solve for x
    x = 316,472.47/601.84
  6. Step 6: Final answer
    x = 525.84

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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.