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Finding the Fourth Proportional to 384.30, 530.50 and 253.34

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Solution

The fourth proportional to 384.30, 530.50 and 253.34 is: 349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 530.50 = 253.34 : x
  2. Step 2: Convert to fraction form
    384.30/530.50 = 253.34/x
  3. Step 3: Cross multiply
    384.30x = 530.50 × 253.34
  4. Step 4: Simplify right side
    384.30x = 134,396.87
  5. Step 5: Solve for x
    x = 134,396.87/384.30
  6. Step 6: Final answer
    x = 349.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.