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Finding the Fourth Proportional to 617.64, 852.08 and 384.63

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Solution

The fourth proportional to 617.64, 852.08 and 384.63 is: 530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.64 : 852.08 = 384.63 : x
  2. Step 2: Convert to fraction form
    617.64/852.08 = 384.63/x
  3. Step 3: Cross multiply
    617.64x = 852.08 × 384.63
  4. Step 4: Simplify right side
    617.64x = 327,735.53
  5. Step 5: Solve for x
    x = 327,735.53/617.64
  6. Step 6: Final answer
    x = 530.63

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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.