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Finding the Fourth Proportional to 617.56, 852.12 and 368.86

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Solution

The fourth proportional to 617.56, 852.12 and 368.86 is: 508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 852.12 = 368.86 : x
  2. Step 2: Convert to fraction form
    617.56/852.12 = 368.86/x
  3. Step 3: Cross multiply
    617.56x = 852.12 × 368.86
  4. Step 4: Simplify right side
    617.56x = 314,312.98
  5. Step 5: Solve for x
    x = 314,312.98/617.56
  6. Step 6: Final answer
    x = 508.96

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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.