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Finding the Fourth Proportional to 617.52, 852.16 and 384.64

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Solution

The fourth proportional to 617.52, 852.16 and 384.64 is: 530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.52 : 852.16 = 384.64 : x
  2. Step 2: Convert to fraction form
    617.52/852.16 = 384.64/x
  3. Step 3: Cross multiply
    617.52x = 852.16 × 384.64
  4. Step 4: Simplify right side
    617.52x = 327,774.82
  5. Step 5: Solve for x
    x = 327,774.82/617.52
  6. Step 6: Final answer
    x = 530.79

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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.