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Finding the Fourth Proportional to 466.05, 695.27 and 384.66

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Solution

The fourth proportional to 466.05, 695.27 and 384.66 is: 573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.05 : 695.27 = 384.66 : x
  2. Step 2: Convert to fraction form
    466.05/695.27 = 384.66/x
  3. Step 3: Cross multiply
    466.05x = 695.27 × 384.66
  4. Step 4: Simplify right side
    466.05x = 267,440.63
  5. Step 5: Solve for x
    x = 267,440.63/466.05
  6. Step 6: Final answer
    x = 573.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.