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Finding the Fourth Proportional to 384.18, 529.26 and 301.17

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Solution

The fourth proportional to 384.18, 529.26 and 301.17 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.18 : 529.26 = 301.17 : x
  2. Step 2: Convert to fraction form
    384.18/529.26 = 301.17/x
  3. Step 3: Cross multiply
    384.18x = 529.26 × 301.17
  4. Step 4: Simplify right side
    384.18x = 159,397.23
  5. Step 5: Solve for x
    x = 159,397.23/384.18
  6. Step 6: Final answer
    x = 414.90

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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.