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Finding the Fourth Proportional to 384.30, 530.01 and 344.41

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Solution

The fourth proportional to 384.30, 530.01 and 344.41 is: 474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 530.01 = 344.41 : x
  2. Step 2: Convert to fraction form
    384.30/530.01 = 344.41/x
  3. Step 3: Cross multiply
    384.30x = 530.01 × 344.41
  4. Step 4: Simplify right side
    384.30x = 182,539.42
  5. Step 5: Solve for x
    x = 182,539.42/384.30
  6. Step 6: Final answer
    x = 474.99

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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.