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Finding the Fourth Proportional to 384.19, 530.42 and 253.42

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Solution

The fourth proportional to 384.19, 530.42 and 253.42 is: 349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 530.42 = 253.42 : x
  2. Step 2: Convert to fraction form
    384.19/530.42 = 253.42/x
  3. Step 3: Cross multiply
    384.19x = 530.42 × 253.42
  4. Step 4: Simplify right side
    384.19x = 134,416.44
  5. Step 5: Solve for x
    x = 134,416.44/384.19
  6. Step 6: Final answer
    x = 349.87

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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.