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Finding the Fourth Proportional to 384.67, 529.71 and 260.29

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Solution

The fourth proportional to 384.67, 529.71 and 260.29 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.67 : 529.71 = 260.29 : x
  2. Step 2: Convert to fraction form
    384.67/529.71 = 260.29/x
  3. Step 3: Cross multiply
    384.67x = 529.71 × 260.29
  4. Step 4: Simplify right side
    384.67x = 137,878.22
  5. Step 5: Solve for x
    x = 137,878.22/384.67
  6. Step 6: Final answer
    x = 358.43

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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.